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1147128048 = 243311283853
BaseRepresentation
bin100010001011111…
…1100100011110000
32221221112010212000
41010113330203300
54322131044143
6305454534000
740266266433
oct10427744360
92857463760
101147128048
11539584310
12280207300
13153871ac1
14ac4c981a
156aa94bd3
hex445fc8f0

1147128048 has 160 divisors (see below), whose sum is σ = 3608935680. Its totient is φ = 345980160.

The previous prime is 1147128029. The next prime is 1147128049. The reversal of 1147128048 is 8408217411.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147128049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1344390 + ... + 1345242.

It is an arithmetic number, because the mean of its divisors is an integer number (22555848).

Almost surely, 21147128048 is an apocalyptic number.

1147128048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1147128048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804467840).

1147128048 is an abundant number, since it is smaller than the sum of its proper divisors (2461807632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1147128048 is a wasteful number, since it uses less digits than its factorization.

1147128048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1147128048 is about 33869.2788231459. The cubic root of 1147128048 is about 1046.8166771257.

It can be divided in two parts, 114712 and 8048, that added together give a triangular number (122760 = T495).

The spelling of 1147128048 in words is "one billion, one hundred forty-seven million, one hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 283 297 396 432 528 566 594 792 849 853 1132 1188 1584 1698 1706 2264 2376 2547 2559 3113 3396 3412 4528 4752 5094 5118 6226 6792 6824 7641 7677 9339 9383 10188 10236 12452 13584 13648 15282 15354 18678 18766 20376 20472 23031 24904 28017 28149 30564 30708 37356 37532 40752 40944 46062 49808 56034 56298 61128 61416 74712 75064 84051 84447 92124 112068 112596 122256 122832 149424 150128 168102 168894 184248 224136 225192 241399 253341 336204 337788 368496 448272 450384 482798 506682 672408 675576 724197 965596 1013364 1344816 1351152 1448394 1931192 2026728 2172591 2655389 2896788 3862384 4053456 4345182 5310778 5793576 6517773 7966167 8690364 10621556 11587152 13035546 15932334 17380728 21243112 23898501 26071092 31864668 34761456 42486224 47797002 52142184 63729336 71695503 95594004 104284368 127458672 143391006 191188008 286782012 382376016 573564024 1147128048