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67013076 = 223131923983
BaseRepresentation
bin1111111110100…
…0100111010100
311200002121122210
43333220213110
5114123404301
610352153420
71442413254
oct377504724
9150077583
1067013076
1134910a09
121a538870
1310b64110
148c85964
155d3aad6
hex3fe89d4

67013076 has 96 divisors (see below), whose sum is σ = 185149440. Its totient is φ = 18665856.

The previous prime is 67013071. The next prime is 67013077. The reversal of 67013076 is 67031076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67013071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67681 + ... + 68663.

It is an arithmetic number, because the mean of its divisors is an integer number (1928640).

Almost surely, 267013076 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 67013076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92574720).

67013076 is an abundant number, since it is smaller than the sum of its proper divisors (118136364).

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

67013076 is a wasteful number, since it uses less digits than its factorization.

67013076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 67013076 is about 8186.1514767319. The cubic root of 67013076 is about 406.1812306159.

The spelling of 67013076 in words is "sixty-seven million, thirteen thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 19 23 26 38 39 46 52 57 69 76 78 92 114 138 156 228 247 276 299 437 494 598 741 874 897 983 988 1196 1311 1482 1748 1794 1966 2622 2949 2964 3588 3932 5244 5681 5898 11362 11796 12779 17043 18677 22609 22724 25558 34086 37354 38337 45218 51116 56031 67827 68172 74708 76674 90436 112062 135654 153348 224124 242801 271308 293917 429571 485602 587834 728403 859142 881751 971204 1175668 1288713 1456806 1718284 1763502 2577426 2913612 3527004 5154852 5584423 11168846 16753269 22337692 33506538 67013076