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13193952 = 253137437
BaseRepresentation
bin110010010101…
…001011100000
3220211022200220
4302111023200
511334201302
61150443040
7220101222
oct62251340
926738626
1013193952
1174a18a2
124503480
13296c595
141a76412
1512594bc
hexc952e0

13193952 has 24 divisors (see below), whose sum is σ = 34634376. Its totient is φ = 4397952.

The previous prime is 13193951. The next prime is 13193953. The reversal of 13193952 is 25939131.

It is an interprime number because it is at equal distance from previous prime (13193951) and next prime (13193953).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13193951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68623 + ... + 68814.

It is an arithmetic number, because the mean of its divisors is an integer number (1443099).

Almost surely, 213193952 is an apocalyptic number.

13193952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13193952 is an abundant number, since it is smaller than the sum of its proper divisors (21440424).

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

13193952 is a wasteful number, since it uses less digits than its factorization.

13193952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137450 (or 137442 counting only the distinct ones).

The product of its digits is 7290, while the sum is 33.

The square root of 13193952 is about 3632.3480009492. The cubic root of 13193952 is about 236.2970500620.

The spelling of 13193952 in words is "thirteen million, one hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137437 274874 412311 549748 824622 1099496 1649244 2198992 3298488 4397984 6596976 13193952