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20974968 = 2332741617
BaseRepresentation
bin101000000000…
…0110101111000
31110110122020200
41100000311320
520332144333
62025322200
7343166340
oct120006570
943418220
1020974968
1110926893
127036360
134465131
142addd20
151c94c13
hex1400d78

20974968 has 48 divisors (see below), whose sum is σ = 64924080. Its totient is φ = 5992704.

The previous prime is 20974951. The next prime is 20974969. The reversal of 20974968 is 86947902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20974969) 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, 20305 + ... + 21312.

It is an arithmetic number, because the mean of its divisors is an integer number (1352585).

Almost surely, 220974968 is an apocalyptic number.

20974968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20974968 is an abundant number, since it is smaller than the sum of its proper divisors (43949112).

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

20974968 is a wasteful number, since it uses less digits than its factorization.

20974968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41636 (or 41629 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 20974968 is about 4579.8436654541. The cubic root of 20974968 is about 275.7827527991.

The spelling of 20974968 in words is "twenty million, nine hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 41617 83234 124851 166468 249702 291319 332936 374553 499404 582638 749106 873957 998808 1165276 1498212 1747914 2330552 2621871 2996424 3495828 5243742 6991656 10487484 20974968