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67720536 = 2334138039
BaseRepresentation
bin1000000100101…
…01010101011000
311201102120010000
410002111111120
5114314024121
610415253000
71451420652
oct402252530
9151376100
1067720536
1135254494
121a81a160
1311051130
148dcb6d2
155e2a526
hex4095558

67720536 has 80 divisors (see below), whose sum is σ = 204296400. Its totient is φ = 20834496.

The previous prime is 67720531. The next prime is 67720547. The reversal of 67720536 is 63502776.

It is a happy number.

It is a super-2 number, since 2×677205362 = 9172141992254592, which contains 22 as substring.

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 67720536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67720531) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4405 + ... + 12443.

It is an arithmetic number, because the mean of its divisors is an integer number (2553705).

Almost surely, 267720536 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 67720536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102148200).

67720536 is an abundant number, since it is smaller than the sum of its proper divisors (136575864).

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

67720536 is a wasteful number, since it uses less digits than its factorization.

67720536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8070 (or 8057 counting only the distinct ones).

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

The square root of 67720536 is about 8229.2488114044. The cubic root of 67720536 is about 407.6055877039.

The spelling of 67720536 in words is "sixty-seven million, seven hundred twenty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8039 8424 16078 24117 32156 48234 64312 72351 96468 104507 144702 192936 209014 217053 289404 313521 418028 434106 578808 627042 651159 836056 868212 940563 1254084 1302318 1736424 1881126 2508168 2604636 2821689 3762252 5209272 5643378 7524504 8465067 11286756 16930134 22573512 33860268 67720536