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780157107 = 32809310711
BaseRepresentation
bin101110100000000…
…100000010110011
32000101000002100200
4232200010002303
53044210011412
6205225250243
725222140342
oct5640040263
92011002320
10780157107
11370418644
12199333983
13c5826132
1475881b59
15487579dc
hex2e8040b3

780157107 has 12 divisors (see below), whose sum is σ = 1127138064. Its totient is φ = 519991920.

The previous prime is 780157087. The next prime is 780157117. The reversal of 780157107 is 701751087.

780157107 is a `hidden beast` number, since 7 + 80 + 1 + 571 + 0 + 7 = 666.

It is not a de Polignac number, because 780157107 - 28 = 780156851 is a prime.

It is a super-2 number, since 2×7801571072 = 1217290223205218898, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (780157117) 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 11 ways as a sum of consecutive naturals, for example, 67482 + ... + 78192.

It is an arithmetic number, because the mean of its divisors is an integer number (93928172).

Almost surely, 2780157107 is an apocalyptic number.

780157107 is a deficient number, since it is larger than the sum of its proper divisors (346980957).

780157107 is a wasteful number, since it uses less digits than its factorization.

780157107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18810 (or 18807 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 36.

The square root of 780157107 is about 27931.2926124088. The cubic root of 780157107 is about 920.5782073382.

The spelling of 780157107 in words is "seven hundred eighty million, one hundred fifty-seven thousand, one hundred seven".

Divisors: 1 3 9 8093 10711 24279 32133 72837 96399 86684123 260052369 780157107