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1128252480 = 26357116553
BaseRepresentation
bin100001100111111…
…1100010001000000
32220122000011102220
41003033330101000
54302313034410
6303542211040
736646662555
oct10317742100
92818004386
101128252480
11529961873
12275a23a80
1314c993424
14a9bb4a2c
15690b7070
hex433fc440

1128252480 has 112 divisors (see below), whose sum is σ = 3632874624. Its totient is φ = 296611840.

The previous prime is 1128252467. The next prime is 1128252527. The reversal of 1128252480 is 842528211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59884 + ... + 76436.

Almost surely, 21128252480 is an apocalyptic number.

1128252480 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 1128252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816437312).

1128252480 is an abundant number, since it is smaller than the sum of its proper divisors (2504622144).

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

1128252480 is a wasteful number, since it uses less digits than its factorization.

1128252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644 (or 16634 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 1128252480 is about 33589.4697784886. The cubic root of 1128252480 is about 1041.0432332524.

The spelling of 1128252480 in words is "one billion, one hundred twenty-eight million, two hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 852 960 1065 1136 1420 1704 2130 2272 2840 3408 4260 4544 5680 6816 8520 11360 13632 16553 17040 22720 33106 34080 49659 66212 68160 82765 99318 132424 165530 198636 248295 264848 331060 397272 496590 529696 662120 794544 993180 1059392 1175263 1324240 1589088 1986360 2350526 2648480 3178176 3525789 3972720 4701052 5296960 5876315 7051578 7945440 9402104 11752630 14103156 15890880 17628945 18804208 23505260 28206312 35257890 37608416 47010520 56412624 70515780 75216832 94021040 112825248 141031560 188042080 225650496 282063120 376084160 564126240 1128252480