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3970656 = 253217811
BaseRepresentation
bin1111001001011001100000
321110201201100
433021121200
52004030111
6221034400
745515154
oct17113140
97421640
103970656
112272238
1213b5a00
13a90401
14755064
15536756
hex3c9660

3970656 has 72 divisors (see below), whose sum is σ = 11970504. Its totient is φ = 1244160.

The previous prime is 3970649. The next prime is 3970657. The reversal of 3970656 is 6560793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×39706562 = 31532218140672, 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 3970656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4491 + ... + 5301.

It is an arithmetic number, because the mean of its divisors is an integer number (166257).

Almost surely, 23970656 is an apocalyptic number.

3970656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3970656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985252).

3970656 is an abundant number, since it is smaller than the sum of its proper divisors (7999848).

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

3970656 is a wasteful number, since it uses less digits than its factorization.

3970656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3970656 is about 1992.6504961985. The cubic root of 3970656 is about 158.3509796276.

The spelling of 3970656 in words is "three million, nine hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 811 816 1224 1622 1632 2433 2448 3244 4866 4896 6488 7299 9732 12976 13787 14598 19464 25952 27574 29196 38928 41361 55148 58392 77856 82722 110296 116784 124083 165444 220592 233568 248166 330888 441184 496332 661776 992664 1323552 1985328 3970656