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67990572 = 2232131311109
BaseRepresentation
bin1000000110101…
…11010000101100
311201221021112100
410003113100230
5114401144242
610425135100
71453624146
oct403272054
9151837470
1067990572
1135419361
121a92a490
1311117010
14905bc96
155e8054c
hex40d742c

67990572 has 72 divisors (see below), whose sum is σ = 186666480. Its totient is φ = 20741760.

The previous prime is 67990567. The next prime is 67990579. The reversal of 67990572 is 27509976.

67990572 is a `hidden beast` number, since 6 + 79 + 9 + 0 + 572 = 666.

It is not an unprimeable number, because it can be changed into a prime (67990579) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 60754 + ... + 61862.

It is an arithmetic number, because the mean of its divisors is an integer number (2592590).

Almost surely, 267990572 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 67990572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93333240).

67990572 is an abundant number, since it is smaller than the sum of its proper divisors (118675908).

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

67990572 is a wasteful number, since it uses less digits than its factorization.

67990572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 67990572 is about 8245.6395749511. The cubic root of 67990572 is about 408.1466456707.

The spelling of 67990572 in words is "sixty-seven million, nine hundred ninety thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 131 156 234 262 393 468 524 786 1109 1179 1572 1703 2218 2358 3327 3406 4436 4716 5109 6654 6812 9981 10218 13308 14417 15327 19962 20436 28834 30654 39924 43251 57668 61308 86502 129753 145279 173004 259506 290558 435837 519012 581116 871674 1307511 1743348 1888627 2615022 3777254 5230044 5665881 7554508 11331762 16997643 22663524 33995286 67990572