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19957344 = 2531118899
BaseRepresentation
bin100110000100…
…0011001100000
31101112221022220
41030020121200
520102113334
61551431040
7331430451
oct114103140
941487286
1019957344
11102a1280
126825480
134199ba4
142917128
151b43449
hex1308660

19957344 has 48 divisors (see below), whose sum is σ = 57153600. Its totient is φ = 6047360.

The previous prime is 19957339. The next prime is 19957349. The reversal of 19957344 is 44375991.

It is an interprime number because it is at equal distance from previous prime (19957339) and next prime (19957349).

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

It is a super-3 number, since 3×199573443 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19957296 and 19957305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19957349) 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, 8394 + ... + 10505.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 219957344 is an apocalyptic number.

It is an amenable number.

19957344 is an abundant number, since it is smaller than the sum of its proper divisors (37196256).

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

19957344 is a wasteful number, since it uses less digits than its factorization.

19957344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18923 (or 18915 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 19957344 is about 4467.3643236253. The cubic root of 19957344 is about 271.2486473065.

It can be divided in two parts, 19957 and 344, that added together give a triangular number (20301 = T201).

The spelling of 19957344 in words is "nineteen million, nine hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 18899 37798 56697 75596 113394 151192 207889 226788 302384 415778 453576 604768 623667 831556 907152 1247334 1663112 1814304 2494668 3326224 4989336 6652448 9978672 19957344