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68000157 = 3229437383
BaseRepresentation
bin1000000110110…
…01100110011101
311201221202200100
410003121212131
5114402001112
610425251313
71453664121
oct403314635
9151852610
1068000157
1135425585
121a933b39
131111b4a4
149061581
155e832dc
hex40d999d

68000157 has 48 divisors (see below), whose sum is σ = 106666560. Its totient is φ = 41658624.

The previous prime is 68000147. The next prime is 68000161. The reversal of 68000157 is 75100086.

It is not a de Polignac number, because 68000157 - 211 = 67998109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 68000157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68000137) 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 47 ways as a sum of consecutive naturals, for example, 819238 + ... + 819320.

It is an arithmetic number, because the mean of its divisors is an integer number (2222220).

Almost surely, 268000157 is an apocalyptic number.

It is an amenable number.

68000157 is a deficient number, since it is larger than the sum of its proper divisors (38666403).

68000157 is a wasteful number, since it uses less digits than its factorization.

68000157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 68000157 is about 8246.2207707531. The cubic root of 68000157 is about 408.1658243189.

The spelling of 68000157 in words is "sixty-eight million, one hundred fifty-seven", and thus it is an aban number.

Divisors: 1 3 9 29 43 73 83 87 129 219 249 261 387 657 747 1247 2117 2407 3139 3569 3741 6059 6351 7221 9417 10707 11223 18177 19053 21663 28251 32121 54531 91031 103501 175711 260537 273093 310503 527133 781611 819279 931509 1581399 2344833 7555573 22666719 68000157