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1157105028 = 223233421983
BaseRepresentation
bin100010011111000…
…0000010110000100
32222122022000200210
41010332000112010
54332204330103
6310452435420
740450142022
oct10476002604
92878260623
101157105028
11544179152
12283618b70
13155956041
14ad965712
156b8b5e03
hex44f80584

1157105028 has 48 divisors (see below), whose sum is σ = 2720704896. Its totient is φ = 382744320.

The previous prime is 1157105023. The next prime is 1157105041. The reversal of 1157105028 is 8205017511.

It is a junction number, because it is equal to n+sod(n) for n = 1157104986 and 1157105004.

It is not an unprimeable number, because it can be changed into a prime (1157105023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1176625 + ... + 1177607.

It is an arithmetic number, because the mean of its divisors is an integer number (56681352).

Almost surely, 21157105028 is an apocalyptic number.

It is an amenable number.

1157105028 is an abundant number, since it is smaller than the sum of its proper divisors (1563599868).

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

1157105028 is a wasteful number, since it uses less digits than its factorization.

1157105028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 30.

The square root of 1157105028 is about 34016.2465301509. The cubic root of 1157105028 is about 1049.8427664787.

The spelling of 1157105028 in words is "one billion, one hundred fifty-seven million, one hundred five thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 233 421 466 699 842 932 983 1263 1398 1684 1966 2526 2796 2949 3932 5052 5898 11796 98093 196186 229039 294279 392372 413843 458078 588558 687117 827686 916156 1177116 1241529 1374234 1655372 2483058 2748468 4966116 96425419 192850838 289276257 385701676 578552514 1157105028