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21064960 = 28572351
BaseRepresentation
bin101000001011…
…0110100000000
31110122012200201
41100112310000
520343034320
62031254544
7344022610
oct120266400
943565621
1021064960
1110988464
12707a454
134497097
142b24a40
151cb170a
hex1416d00

21064960 has 72 divisors (see below), whose sum is σ = 57689856. Its totient is φ = 7219200.

The previous prime is 21064957. The next prime is 21064993. The reversal of 21064960 is 6946012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 7785 + ... + 10135.

It is an arithmetic number, because the mean of its divisors is an integer number (801248).

Almost surely, 221064960 is an apocalyptic number.

21064960 is a gapful number since it is divisible by the number (20) 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 21064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28844928).

21064960 is an abundant number, since it is smaller than the sum of its proper divisors (36624896).

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

21064960 is an equidigital number, since it uses as much as digits as its factorization.

21064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 21064960 is about 4589.6579393240. The cubic root of 21064960 is about 276.1766005524.

The spelling of 21064960 in words is "twenty-one million, sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 2351 4480 4702 8960 9404 11755 16457 18808 23510 32914 37616 47020 65828 75232 82285 94040 131656 150464 164570 188080 263312 300928 329140 376160 526624 601856 658280 752320 1053248 1316560 1504640 2106496 2633120 3009280 4212992 5266240 10532480 21064960