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20970624 = 27397563
BaseRepresentation
bin100111111111…
…1110010000000
31110110102021210
41033333302000
520332024444
62025250120
7343150563
oct117776200
943412253
1020970624
11109235a4
127033940
13446316c
142adc4da
151c937b9
hex13ffc80

20970624 has 64 divisors (see below), whose sum is σ = 56377440. Its totient is φ = 6905856.

The previous prime is 20970617. The next prime is 20970643. The reversal of 20970624 is 42607902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20970591 and 20970600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36967 + ... + 37529.

Almost surely, 220970624 is an apocalyptic number.

20970624 is a gapful number since it is divisible by the number (24) 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 20970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28188720).

20970624 is an abundant number, since it is smaller than the sum of its proper divisors (35406816).

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

20970624 is an equidigital number, since it uses as much as digits as its factorization.

20970624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 20970624 is about 4579.3693889006. The cubic root of 20970624 is about 275.7637129132.

The spelling of 20970624 in words is "twenty million, nine hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 563 582 776 1126 1164 1552 1689 2252 2328 3104 3378 4504 4656 6208 6756 9008 9312 12416 13512 18016 18624 27024 36032 37248 54048 54611 72064 108096 109222 163833 216192 218444 327666 436888 655332 873776 1310664 1747552 2621328 3495104 5242656 6990208 10485312 20970624