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20973672 = 2332377873
BaseRepresentation
bin101000000000…
…0100001101000
31110110120110200
41100000201220
520332124142
62025312200
7343162506
oct120004150
943416420
1020973672
1110925915
127035660
134464675
142add676
151c9464c
hex1400868

20973672 has 48 divisors (see below), whose sum is σ = 58346340. Its totient is φ = 6801408.

The previous prime is 20973653. The next prime is 20973679. The reversal of 20973672 is 27637902.

It can be written as a sum of positive squares in 2 ways, for example, as 20848356 + 125316 = 4566^2 + 354^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20973679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1273 + ... + 6600.

Almost surely, 220973672 is an apocalyptic number.

It is an amenable number.

20973672 is an abundant number, since it is smaller than the sum of its proper divisors (37372668).

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

20973672 is a wasteful number, since it uses less digits than its factorization.

20973672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7922 (or 7915 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 20973672 is about 4579.7021737227. The cubic root of 20973672 is about 275.7770726664. Note that the first 3 decimals are identical.

The spelling of 20973672 in words is "twenty million, nine hundred seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 7873 15746 23619 31492 47238 62984 70857 94476 141714 188952 283428 291301 566856 582602 873903 1165204 1747806 2330408 2621709 3495612 5243418 6991224 10486836 20973672