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64587138 = 23711271179
BaseRepresentation
bin1111011001100…
…0010110000010
311111112100220020
43312120112002
5113013242023
610224154310
71412660460
oct366302602
9144470806
1064587138
1133504300
1219768996
13104c4b55
148813830
155a0bde3
hex3d98582

64587138 has 96 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 16447200.

The previous prime is 64587119. The next prime is 64587139. The reversal of 64587138 is 83178546.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 64587138.

It is not an unprimeable number, because it can be changed into a prime (64587139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360733 + ... + 360911.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 264587138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64587138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

64587138 is an abundant number, since it is smaller than the sum of its proper divisors (100886142).

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

64587138 is a wasteful number, since it uses less digits than its factorization.

64587138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 64587138 is about 8036.6123460075. The cubic root of 64587138 is about 401.2194825443.

The spelling of 64587138 in words is "sixty-four million, five hundred eighty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 71 77 121 142 154 179 213 231 242 358 363 426 462 497 537 726 781 847 994 1074 1253 1491 1562 1694 1969 2343 2506 2541 2982 3759 3938 4686 5082 5467 5907 7518 8591 10934 11814 12709 13783 16401 17182 21659 25418 25773 27566 32802 38127 41349 43318 51546 60137 64977 76254 82698 88963 120274 129954 139799 151613 177926 180411 266889 279598 303226 360822 419397 454839 533778 838794 909678 978593 1537789 1957186 2935779 3075578 4613367 5871558 9226734 10764523 21529046 32293569 64587138