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19997568 = 273217359
BaseRepresentation
bin100110001001…
…0001110000000
31101121222111200
41030102032000
520104410233
61552341200
7331655643
oct114221600
941558450
1019997568
1110319518
126844800
1341b22a6
142927a5a
151b50313
hex1312380

19997568 has 48 divisors (see below), whose sum is σ = 57548400. Its totient is φ = 6665472.

The previous prime is 19997567. The next prime is 19997581. The reversal of 19997568 is 86579991.

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 (19997563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7528 + ... + 9831.

It is an arithmetic number, because the mean of its divisors is an integer number (1198925).

Almost surely, 219997568 is an apocalyptic number.

19997568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19997568 is an abundant number, since it is smaller than the sum of its proper divisors (37550832).

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

19997568 is a wasteful number, since it uses less digits than its factorization.

19997568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17379 (or 17364 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 19997568 is about 4471.8640408671. The cubic root of 19997568 is about 271.4307587741.

The spelling of 19997568 in words is "nineteen million, nine hundred ninety-seven thousand, five hundred sixty-eight".

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 17359 34718 52077 69436 104154 138872 156231 208308 277744 312462 416616 555488 624924 833232 1110976 1249848 1666464 2221952 2499696 3332928 4999392 6665856 9998784 19997568