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64130157 = 3371343607
BaseRepresentation
bin1111010010100…
…0110001101101
311110200011001000
43310220301231
5112404131112
610210310513
71406045250
oct364506155
9143604030
1064130157
1133221a33
1219588439
1310394b50
148735097
15596b7dc
hex3d28c6d

64130157 has 64 divisors (see below), whose sum is σ = 119848960. Its totient is φ = 32985792.

The previous prime is 64130147. The next prime is 64130161. The reversal of 64130157 is 75103146.

64130157 is a `hidden beast` number, since 641 + 3 + 0 + 15 + 7 = 666.

It is not a de Polignac number, because 64130157 - 27 = 64130029 is a prime.

It is a super-2 number, since 2×641301572 = 8225354073689298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 64130157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64130147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105348 + ... + 105954.

It is an arithmetic number, because the mean of its divisors is an integer number (1872640).

Almost surely, 264130157 is an apocalyptic number.

It is an amenable number.

64130157 is a deficient number, since it is larger than the sum of its proper divisors (55718803).

64130157 is a wasteful number, since it uses less digits than its factorization.

64130157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 64130157 is about 8008.1306807519. The cubic root of 64130157 is about 400.2709768041.

The spelling of 64130157 in words is "sixty-four million, one hundred thirty thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 13 21 27 39 43 63 91 117 129 189 273 301 351 387 559 607 819 903 1161 1677 1821 2457 2709 3913 4249 5031 5463 7891 8127 11739 12747 15093 16389 23673 26101 35217 38241 55237 71019 78303 105651 114723 165711 182707 213057 234909 339313 497133 548121 704727 1017939 1491399 1644363 2375191 3053817 4933089 7125573 9161451 21376719 64130157