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21940128 = 2532710883
BaseRepresentation
bin101001110110…
…0011110100000
31112021200012100
41103230132200
521104041003
62102130400
7354326250
oct123543640
945250170
1021940128
1111425a41
127420a00
134712532
142cb1960
151dd5ba3
hex14ec7a0

21940128 has 72 divisors (see below), whose sum is σ = 71311968. Its totient is φ = 6268032.

The previous prime is 21940111. The next prime is 21940151. The reversal of 21940128 is 82104912.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3426 + ... + 7457.

It is an arithmetic number, because the mean of its divisors is an integer number (990444).

Almost surely, 221940128 is an apocalyptic number.

21940128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21940128 is an abundant number, since it is smaller than the sum of its proper divisors (49371840).

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

21940128 is a wasteful number, since it uses less digits than its factorization.

21940128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10906 (or 10895 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 21940128 is about 4684.0290349228. The cubic root of 21940128 is about 279.9495147073.

The spelling of 21940128 in words is "twenty-one million, nine hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 10883 21766 32649 43532 65298 76181 87064 97947 130596 152362 174128 195894 228543 261192 304724 348256 391788 457086 522384 609448 685629 783576 914172 1044768 1218896 1371258 1567152 1828344 2437792 2742516 3134304 3656688 5485032 7313376 10970064 21940128