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20997984 = 253731247
BaseRepresentation
bin101000000011…
…0011101100000
31110111210211010
41100012131200
520333413414
62030020520
7343323420
oct120063540
943453733
1020997984
1110942107
127047740
134472757
142b08480
151c9b959
hex1406760

20997984 has 48 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 5999232.

The previous prime is 20997973. The next prime is 20997989. The reversal of 20997984 is 48979902.

It is a happy number.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20997989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14952 + ... + 16295.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 220997984 is an apocalyptic number.

20997984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20997984 is an abundant number, since it is smaller than the sum of its proper divisors (41997984).

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

20997984 is a wasteful number, since it uses less digits than its factorization.

20997984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31267 (or 31259 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 20997984 is about 4582.3557260431. The cubic root of 20997984 is about 275.8835887982.

The spelling of 20997984 in words is "twenty million, nine hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 31247 62494 93741 124988 187482 218729 249976 374964 437458 499952 656187 749928 874916 999904 1312374 1499856 1749832 2624748 2999712 3499664 5249496 6999328 10498992 20997984