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64113714 = 23371979113
BaseRepresentation
bin1111010010010…
…0110000110010
311110122022111000
43310210300302
5112403114324
610210102430
71405646310
oct364446062
9143568430
1064113714
1133210645
121957aa16
131038a512
14872d0b0
1559669c9
hex3d24c32

64113714 has 128 divisors (see below), whose sum is σ = 175104000. Its totient is φ = 16982784.

The previous prime is 64113713. The next prime is 64113737. The reversal of 64113714 is 41731146.

It is a happy number.

64113714 is a `hidden beast` number, since 641 + 1 + 3 + 7 + 14 = 666.

It is a super-2 number, since 2×641137142 = 8221136645747592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64113713) 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, 567322 + ... + 567434.

It is an arithmetic number, because the mean of its divisors is an integer number (1368000).

Almost surely, 264113714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64113714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87552000).

64113714 is an abundant number, since it is smaller than the sum of its proper divisors (110990286).

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

64113714 is a wasteful number, since it uses less digits than its factorization.

64113714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 64113714 is about 8007.1039708499. The cubic root of 64113714 is about 400.2367639960.

The spelling of 64113714 in words is "sixty-four million, one hundred thirteen thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 79 113 114 126 133 158 171 189 226 237 266 339 342 378 399 474 513 553 678 711 791 798 1017 1026 1106 1197 1422 1501 1582 1659 2034 2133 2147 2373 2394 3002 3051 3318 3591 4266 4294 4503 4746 4977 6102 6441 7119 7182 8927 9006 9954 10507 12882 13509 14238 14931 15029 17854 19323 21014 21357 26781 27018 29862 30058 31521 38646 40527 42714 45087 53562 57969 62489 63042 80343 81054 90174 94563 115938 124978 135261 160686 169613 187467 189126 241029 270522 283689 339226 374934 405783 482058 508839 562401 567378 811566 1017678 1124802 1187291 1526517 1687203 2374582 3053034 3374406 3561873 4579551 7123746 9159102 10685619 21371238 32056857 64113714