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67014272 = 27131723103
BaseRepresentation
bin1111111110100…
…0111010000000
311200002200022002
43333220322000
5114123424042
610352203132
71442416613
oct377507200
9150080262
1067014272
11349118a6
121a5394a8
1310b64820
148c8617a
155d3b132
hex3fe8e80

67014272 has 128 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 27574272.

The previous prime is 67014257. The next prime is 67014301. The reversal of 67014272 is 27241076.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650573 + ... + 650675.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 267014272 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 67014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

67014272 is an abundant number, since it is smaller than the sum of its proper divisors (93378688).

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

67014272 is a wasteful number, since it uses less digits than its factorization.

67014272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 67014272 is about 8186.2245266057. The cubic root of 67014272 is about 406.1836470093.

The spelling of 67014272 in words is "sixty-seven million, fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 46 52 64 68 92 103 104 128 136 184 206 208 221 272 299 368 391 412 416 442 544 598 736 782 824 832 884 1088 1196 1339 1472 1564 1648 1664 1751 1768 2176 2369 2392 2678 2944 3128 3296 3502 3536 4738 4784 5083 5356 6256 6592 7004 7072 9476 9568 10166 10712 12512 13184 14008 14144 18952 19136 20332 21424 22763 25024 28016 28288 30797 37904 38272 40273 40664 42848 45526 50048 56032 61594 75808 80546 81328 85696 91052 112064 123188 151616 161092 162656 171392 182104 224128 246376 303232 322184 325312 364208 492752 523549 644368 650624 728416 985504 1047098 1288736 1456832 1971008 2094196 2577472 2913664 3942016 4188392 5154944 8376784 16753568 33507136 67014272