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20970664 = 23111323797
BaseRepresentation
bin100111111111…
…1110010101000
31110110102100021
41033333302220
520332030124
62025250224
7343150651
oct117776250
943412307
1020970664
1110923630
127033974
1344631a0
142adc528
151c937e4
hex13ffca8

20970664 has 64 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 8405760.

The previous prime is 20970643. The next prime is 20970667. The reversal of 20970664 is 46607902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20970667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25914 + ... + 26710.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 220970664 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 20970664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

20970664 is an abundant number, since it is smaller than the sum of its proper divisors (27292376).

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

20970664 is a wasteful number, since it uses less digits than its factorization.

20970664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 20970664 is about 4579.3737563121. The cubic root of 20970664 is about 275.7638882465.

The spelling of 20970664 in words is "twenty million, nine hundred seventy thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 184 253 286 299 506 572 598 797 1012 1144 1196 1594 2024 2392 3188 3289 6376 6578 8767 10361 13156 17534 18331 20722 26312 35068 36662 41444 70136 73324 82888 113971 146648 201641 227942 238303 403282 455884 476606 806564 911768 953212 1613128 1906424 2621333 5242666 10485332 20970664