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7064772 = 223111323179
BaseRepresentation
bin11010111100110011000100
3111021221001020
4122330303010
53302033042
6411231140
7114023001
oct32746304
914257036
107064772
113a95960
1224484b0
131604850
14d1c8a8
159483ec
hex6bccc4

7064772 has 96 divisors (see below), whose sum is σ = 20321280. Its totient is φ = 1879680.

The previous prime is 7064767. The next prime is 7064773. The reversal of 7064772 is 2774607.

It is a happy number.

It is a super-2 number, since 2×70647722 = 99822006823968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7064773) 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, 39379 + ... + 39557.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 27064772 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 7064772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

7064772 is an abundant number, since it is smaller than the sum of its proper divisors (13256508).

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

7064772 is a wasteful number, since it uses less digits than its factorization.

7064772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 7064772 is about 2657.9638823731. The cubic root of 7064772 is about 191.8813285764.

The spelling of 7064772 in words is "seven million, sixty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 179 253 276 286 299 358 429 506 537 572 598 716 759 858 897 1012 1074 1196 1518 1716 1794 1969 2148 2327 3036 3289 3588 3938 4117 4654 5907 6578 6981 7876 8234 9308 9867 11814 12351 13156 13962 16468 19734 23628 24702 25597 27924 39468 45287 49404 51194 53521 76791 90574 102388 107042 135861 153582 160563 181148 214084 271722 307164 321126 543444 588731 642252 1177462 1766193 2354924 3532386 7064772