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1148324940 = 2232573129399
BaseRepresentation
bin100010001110010…
…0000110001001100
32222000202221200100
41010130200301030
54322432344230
6305540331100
740312413060
oct10434406114
92860687610
101148324940
1153a221584
122806a3a90
13153ba0819
14ac71baa0
156ac2e660
hex44720c4c

1148324940 has 144 divisors (see below), whose sum is σ = 4109414400. Its totient is φ = 253998720.

The previous prime is 1148324929. The next prime is 1148324953. The reversal of 1148324940 is 494238411.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1148324895 and 1148324904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24361 + ... + 53759.

It is an arithmetic number, because the mean of its divisors is an integer number (28537600).

Almost surely, 21148324940 is an apocalyptic number.

1148324940 is a gapful number since it is divisible by the number (10) 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 1148324940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054707200).

1148324940 is an abundant number, since it is smaller than the sum of its proper divisors (2961089460).

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

1148324940 is a wasteful number, since it uses less digits than its factorization.

1148324940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29452 (or 29447 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1148324940 is about 33886.9435033613. The cubic root of 1148324940 is about 1047.1806269047.

The spelling of 1148324940 in words is "one billion, one hundred forty-eight million, three hundred twenty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3906 4340 5580 6510 7812 9765 13020 19530 29399 39060 58798 88197 117596 146995 176394 205793 264591 293990 352788 411586 440985 529182 587980 617379 823172 881970 911369 1028965 1058364 1234758 1322955 1763940 1822738 1852137 2057930 2469516 2645910 2734107 3086895 3645476 3704274 4115860 4556845 5291820 5468214 6173790 6379583 7408548 8202321 9113690 9260685 10936428 12347580 12759166 13670535 16404642 18227380 18521370 19138749 25518332 27341070 31897915 32809284 37042740 38277498 41011605 54682140 57416247 63795830 76554996 82023210 95693745 114832494 127591660 164046420 191387490 229664988 287081235 382774980 574162470 1148324940