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1157105004 = 2231173311959
BaseRepresentation
bin100010011111000…
…0000010101101100
32222122022000122220
41010332000111230
54332204330004
6310452435340
740450141656
oct10476002554
92878260586
101157105004
11544179130
12283618b50
13155956023
14ad9656d6
156b8b5dd9
hex44f8056c

1157105004 has 48 divisors (see below), whose sum is σ = 2949623040. Its totient is φ = 350130240.

The previous prime is 1157105003. The next prime is 1157105023. The reversal of 1157105004 is 4005017511.

It is not an unprimeable number, because it can be changed into a prime (1157105003) 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 15 ways as a sum of consecutive naturals, for example, 90777 + ... + 102735.

It is an arithmetic number, because the mean of its divisors is an integer number (61450480).

Almost surely, 21157105004 is an apocalyptic number.

It is an amenable number.

1157105004 is an abundant number, since it is smaller than the sum of its proper divisors (1792518036).

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

1157105004 is a wasteful number, since it uses less digits than its factorization.

1157105004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 1157105004 is about 34016.2461773782. The cubic root of 1157105004 is about 1049.8427592203.

The spelling of 1157105004 in words is "one billion, one hundred fifty-seven million, one hundred five thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 733 1466 2199 2932 4398 8063 8796 11959 16126 23918 24189 32252 35877 47836 48378 71754 96756 131549 143508 263098 394647 526196 789294 1578588 8765947 17531894 26297841 35063788 52595682 96425417 105191364 192850834 289276251 385701668 578552502 1157105004