Search a number
-
+
67256064 = 283229191
BaseRepresentation
bin1000000001000…
…11111100000000
311200112221222100
410000203330000
5114204143224
610401310400
71444444551
oct400437400
9150487870
1067256064
1134a67527
121a635400
1310c1a8b5
148d0a328
155d87ac9
hex4023f00

67256064 has 54 divisors (see below), whose sum is σ = 193922456. Its totient is φ = 22417920.

The previous prime is 67256051. The next prime is 67256083. The reversal of 67256064 is 46065276.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12292 + ... + 16899.

Almost surely, 267256064 is an apocalyptic number.

67256064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67256064 is an abundant number, since it is smaller than the sum of its proper divisors (126666392).

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

67256064 is a wasteful number, since it uses less digits than its factorization.

67256064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29213 (or 29196 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 67256064 is about 8200.9794536994. The cubic root of 67256064 is about 406.6715732932.

The spelling of 67256064 in words is "sixty-seven million, two hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 29191 58382 87573 116764 175146 233528 262719 350292 467056 525438 700584 934112 1050876 1401168 1868224 2101752 2802336 3736448 4203504 5604672 7472896 8407008 11209344 16814016 22418688 33628032 67256064