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21972096 = 273219073
BaseRepresentation
bin101001111010…
…0010010000000
31112100022001100
41103310102000
521111101341
62102534400
7354521406
oct123642200
945308040
1021972096
1111447a63
127437400
134723c53
142cbd476
151de03b6
hex14f4480

21972096 has 48 divisors (see below), whose sum is σ = 63230310. Its totient is φ = 7323648.

The previous prime is 21972089. The next prime is 21972101. The reversal of 21972096 is 69027912.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 69696 = 4680^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 21972096.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8385 + ... + 10688.

Almost surely, 221972096 is an apocalyptic number.

It is an amenable number.

21972096 is an abundant number, since it is smaller than the sum of its proper divisors (41258214).

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

21972096 is a wasteful number, since it uses less digits than its factorization.

21972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19093 (or 19078 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 21972096 is about 4687.4402396191. The cubic root of 21972096 is about 280.0854161174.

The spelling of 21972096 in words is "twenty-one million, nine hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 19073 38146 57219 76292 114438 152584 171657 228876 305168 343314 457752 610336 686628 915504 1220672 1373256 1831008 2441344 2746512 3662016 5493024 7324032 10986048 21972096