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13972432 = 242930113
BaseRepresentation
bin110101010011…
…001111010000
3222021212120111
4311103033100
512034104212
61215251104
7226522645
oct65231720
928255514
1013972432
117983771
124819a94
132b82a16
141bd9dcc
15135eea7
hexd533d0

13972432 has 20 divisors (see below), whose sum is σ = 28006020. Its totient is φ = 6745088.

The previous prime is 13972423. The next prime is 13972433. The reversal of 13972432 is 23427931.

13972432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10601536 + 3370896 = 3256^2 + 1836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13972394 and 13972403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13972433) 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, 14593 + ... + 15520.

It is an arithmetic number, because the mean of its divisors is an integer number (1400301).

Almost surely, 213972432 is an apocalyptic number.

It is an amenable number.

13972432 is an abundant number, since it is smaller than the sum of its proper divisors (14033588).

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

13972432 is a wasteful number, since it uses less digits than its factorization.

13972432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30150 (or 30144 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 13972432 is about 3737.9716424821. The cubic root of 13972432 is about 240.8559253187.

The spelling of 13972432 in words is "thirteen million, nine hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 30113 60226 120452 240904 481808 873277 1746554 3493108 6986216 13972432