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19973088 = 253323117
BaseRepresentation
bin100110000110…
…0001111100000
31101120201221000
41030030033200
520103114323
61552032000
7331524402
oct114141740
941521830
1019973088
1110302093
126832600
1341a40c5
14291cb72
151b47e43
hex130c3e0

19973088 has 48 divisors (see below), whose sum is σ = 58257360. Its totient is φ = 6657408.

The previous prime is 19973087. The next prime is 19973099. The reversal of 19973088 is 88037991.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19973087) 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, 10695 + ... + 12422.

It is an arithmetic number, because the mean of its divisors is an integer number (1213695).

Almost surely, 219973088 is an apocalyptic number.

19973088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19973088 is an abundant number, since it is smaller than the sum of its proper divisors (38284272).

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

19973088 is a wasteful number, since it uses less digits than its factorization.

19973088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23136 (or 23122 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 19973088 is about 4469.1260890693. The cubic root of 19973088 is about 271.3199563312.

The spelling of 19973088 in words is "nineteen million, nine hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 23117 46234 69351 92468 138702 184936 208053 277404 369872 416106 554808 624159 739744 832212 1109616 1248318 1664424 2219232 2496636 3328848 4993272 6657696 9986544 19973088