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13972940 = 225312727
BaseRepresentation
bin110101010011…
…010111001100
3222021220021022
4311103113030
512034113230
61215253312
7226524302
oct65232714
928256238
1013972940
117984093
12481a238
132b83017
141bda272
1513601e5
hexd535cc

13972940 has 36 divisors (see below), whose sum is σ = 30361968. Its totient is φ = 5401440.

The previous prime is 13972901. The next prime is 13972943. The reversal of 13972940 is 4927931.

It is a self number, because there is not a number n which added to its sum of digits gives 13972940.

It is not an unprimeable number, because it can be changed into a prime (13972943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18857 + ... + 19583.

It is an arithmetic number, because the mean of its divisors is an integer number (843388).

Almost surely, 213972940 is an apocalyptic number.

13972940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13972940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180984).

13972940 is an abundant number, since it is smaller than the sum of its proper divisors (16389028).

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

13972940 is a wasteful number, since it uses less digits than its factorization.

13972940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 13972940 is about 3738.0395931557. The cubic root of 13972940 is about 240.8588442409.

The spelling of 13972940 in words is "thirteen million, nine hundred seventy-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 727 961 1454 1922 2908 3635 3844 4805 7270 9610 14540 19220 22537 45074 90148 112685 225370 450740 698647 1397294 2794588 3493235 6986470 13972940