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131028432 = 24315717387
BaseRepresentation
bin1111100111101…
…01010111010000
3100010112221012220
413303311113100
5232020402212
621000221040
73150503043
oct763652720
9303487186
10131028432
1167a64667
1237a6a780
13211b8922
141358ac5a
15b78338c
hex7cf55d0

131028432 has 40 divisors (see below), whose sum is σ = 340665696. Its totient is φ = 43395456.

The previous prime is 131028431. The next prime is 131028437. The reversal of 131028432 is 234820131.

131028432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131028431) 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, 1158 + ... + 16229.

Almost surely, 2131028432 is an apocalyptic number.

131028432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131028432 is an abundant number, since it is smaller than the sum of its proper divisors (209637264).

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

131028432 is a wasteful number, since it uses less digits than its factorization.

131028432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17555 (or 17549 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 131028432 is about 11446.7651325604. The cubic root of 131028432 is about 507.9120479308.

Adding to 131028432 its reverse (234820131), we get a palindrome (365848563).

The spelling of 131028432 in words is "one hundred thirty-one million, twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 314 471 628 942 1256 1884 2512 3768 7536 17387 34774 52161 69548 104322 139096 208644 278192 417288 834576 2729759 5459518 8189277 10919036 16378554 21838072 32757108 43676144 65514216 131028432