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1312192 = 26729101
BaseRepresentation
bin101000000010111000000
32110122222201
411000113000
5313442232
644042544
714103430
oct5002700
92418881
101312192
11816962
12533454
1336c35b
142622c0
151adbe7
hex1405c0

1312192 has 56 divisors (see below), whose sum is σ = 3108960. Its totient is φ = 537600.

The previous prime is 1312189. The next prime is 1312211. The reversal of 1312192 is 2912131.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12942 + ... + 13042.

21312192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554480).

1312192 is an abundant number, since it is smaller than the sum of its proper divisors (1796768).

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

1312192 is a wasteful number, since it uses less digits than its factorization.

1312192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its digits is 108, while the sum is 19.

The square root of 1312192 is about 1145.5094936315. The cubic root of 1312192 is about 109.4794134342.

The spelling of 1312192 in words is "one million, three hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 101 112 116 202 203 224 232 404 406 448 464 707 808 812 928 1414 1616 1624 1856 2828 2929 3232 3248 5656 5858 6464 6496 11312 11716 12992 20503 22624 23432 41006 45248 46864 82012 93728 164024 187456 328048 656096 1312192