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6960072 = 2337172437
BaseRepresentation
bin11010100011001111001000
3111002121102110
4122203033020
53240210242
6405102320
7113105520
oct32431710
914077373
106960072
113a24229
1223b79a0
131598cb2
14cd2680
1592739c
hex6a33c8

6960072 has 64 divisors (see below), whose sum is σ = 21064320. Its totient is φ = 1870848.

The previous prime is 6960049. The next prime is 6960073. The reversal of 6960072 is 2700696.

It is not an unprimeable number, because it can be changed into a prime (6960073) 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 15 ways as a sum of consecutive naturals, for example, 1638 + ... + 4074.

It is an arithmetic number, because the mean of its divisors is an integer number (329130).

Almost surely, 26960072 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 6960072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532160).

6960072 is an abundant number, since it is smaller than the sum of its proper divisors (14104248).

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

6960072 is a wasteful number, since it uses less digits than its factorization.

6960072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 6960072 is about 2638.1948373841. The cubic root of 6960072 is about 190.9287125575.

The spelling of 6960072 in words is "six million, nine hundred sixty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2437 2856 4874 7311 9748 14622 17059 19496 29244 34118 41429 51177 58488 68236 82858 102354 124287 136472 165716 204708 248574 290003 331432 409416 497148 580006 870009 994296 1160012 1740018 2320024 3480036 6960072