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67730256 = 2434114751
BaseRepresentation
bin1000000100101…
…11101101010000
311201110001110000
410002113231100
5114314332011
610415410000
71451461206
oct402275520
9151401400
1067730256
1135260820
121a823900
1311055699
148dd1076
155e2d356
hex4097b50

67730256 has 100 divisors (see below), whose sum is σ = 213897024. Its totient is φ = 20520000.

The previous prime is 67730219. The next prime is 67730263. The reversal of 67730256 is 65203776.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 67730256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11881 + ... + 16631.

Almost surely, 267730256 is an apocalyptic number.

67730256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67730256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106948512).

67730256 is an abundant number, since it is smaller than the sum of its proper divisors (146166768).

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

67730256 is a wasteful number, since it uses less digits than its factorization.

67730256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 67730256 is about 8229.8393665976. The cubic root of 67730256 is about 407.6250881243.

The spelling of 67730256 in words is "sixty-seven million, seven hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4751 4752 7128 9502 14253 14256 19004 28506 38008 42759 52261 57012 76016 85518 104522 114024 128277 156783 171036 209044 228048 256554 313566 342072 384831 418088 470349 513108 627132 684144 769662 836176 940698 1026216 1254264 1411047 1539324 1881396 2052432 2508528 2822094 3078648 3762792 4233141 5644188 6157296 7525584 8466282 11288376 16932564 22576752 33865128 67730256