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8000157 = 311222039
BaseRepresentation
bin11110100001001010011101
3120001110011010
4132201022131
54022001112
6443245433
7125000034
oct36411235
916043133
108000157
114574700
122819879
131871529
1410c371b
15a8063c
hex7a129d

8000157 has 12 divisors (see below), whose sum is σ = 11725280. Its totient is φ = 4848360.

The previous prime is 8000141. The next prime is 8000171. The reversal of 8000157 is 7510008.

It is a happy number.

It is not a de Polignac number, because 8000157 - 24 = 8000141 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10657 + ... + 11382.

Almost surely, 28000157 is an apocalyptic number.

It is an amenable number.

8000157 is a deficient number, since it is larger than the sum of its proper divisors (3725123).

8000157 is a wasteful number, since it uses less digits than its factorization.

8000157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22064 (or 22053 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 8000157 is about 2828.4548785512. The cubic root of 8000157 is about 200.0013083248.

The spelling of 8000157 in words is "eight million, one hundred fifty-seven", and thus it is an aban number.

Divisors: 1 3 11 33 121 363 22039 66117 242429 727287 2666719 8000157