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67968504 = 2333419751
BaseRepresentation
bin1000000110100…
…01110111111000
311201220011021000
410003101313320
5114344443004
610424445000
71453502622
oct403216770
9151804230
1067968504
113540381a
121a919760
1311109c66
149053c12
155e78c39
hex40d1df8

67968504 has 64 divisors (see below), whose sum is σ = 189504000. Its totient is φ = 22572000.

The previous prime is 67968503. The next prime is 67968517. The reversal of 67968504 is 40586976.

It is a self number, because there is not a number n which added to its sum of digits gives 67968504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67968503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90129 + ... + 90879.

It is an arithmetic number, because the mean of its divisors is an integer number (2961000).

Almost surely, 267968504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67968504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94752000).

67968504 is an abundant number, since it is smaller than the sum of its proper divisors (121535496).

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

67968504 is a wasteful number, since it uses less digits than its factorization.

67968504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 67968504 is about 8244.3013045376. The cubic root of 67968504 is about 408.1024829063.

The spelling of 67968504 in words is "sixty-seven million, nine hundred sixty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 419 751 838 1257 1502 1676 2253 2514 3004 3352 3771 4506 5028 6008 6759 7542 9012 10056 11313 13518 15084 18024 20277 22626 27036 30168 40554 45252 54072 81108 90504 162216 314669 629338 944007 1258676 1888014 2517352 2832021 3776028 5664042 7552056 8496063 11328084 16992126 22656168 33984252 67968504