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1530943128 = 23321113148693
BaseRepresentation
bin101101101000000…
…0101011010011000
310221200201222011100
41123100011122120
511113410140003
6411525231400
752636542021
oct13320053230
93850658140
101530943128
117161a5260
12368862560
131b5237610
14107479c48
158e60cba3
hex5b405698

1530943128 has 96 divisors (see below), whose sum is σ = 4871215440. Its totient is φ = 428232960.

The previous prime is 1530943123. The next prime is 1530943129. The reversal of 1530943128 is 8213490351.

1530943128 is a `hidden beast` number, since 1 + 530 + 94 + 31 + 2 + 8 = 666.

It is a super-2 number, since 2×15309431282 = 4687573722340848768, which contains 22 as substring.

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 = 1530943092 and 1530943101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530943123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64051 + ... + 84642.

Almost surely, 21530943128 is an apocalyptic number.

1530943128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1530943128 is an abundant number, since it is smaller than the sum of its proper divisors (3340272312).

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

1530943128 is a wasteful number, since it uses less digits than its factorization.

1530943128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148729 (or 148722 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1530943128 is about 39127.2683431900. The cubic root of 1530943128 is about 1152.5320712008.

The spelling of 1530943128 in words is "one billion, five hundred thirty million, nine hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 148693 297386 446079 594772 892158 1189544 1338237 1635623 1784316 1933009 2676474 3271246 3568632 3866018 4906869 5352948 5799027 6542492 7732036 9813738 10705896 11598054 13084984 14720607 15464072 17397081 19627476 21263099 23196108 29441214 34794162 39254952 42526198 46392216 58882428 63789297 69588324 85052396 117764856 127578594 139176648 170104792 191367891 255157188 382735782 510314376 765471564 1530943128