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132746427 = 32112946237
BaseRepresentation
bin1111110100110…
…00110010111011
3100020210012212100
413322120302323
5232440341202
621101114443
73201216552
oct772306273
9306705770
10132746427
1168a283a0
1238558a23
132166a8a8
14138b6d99
15b9c241c
hex7e98cbb

132746427 has 24 divisors (see below), whose sum is σ = 216393840. Its totient is φ = 77676480.

The previous prime is 132746423. The next prime is 132746429. The reversal of 132746427 is 724647231.

132746427 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 4 + 642 + 7 = 666.

It is not a de Polignac number, because 132746427 - 22 = 132746423 is a prime.

It is a super-2 number, since 2×1327464272 = 35243227762532658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132746391 and 132746400.

It is not an unprimeable number, because it can be changed into a prime (132746423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20248 + ... + 25989.

It is an arithmetic number, because the mean of its divisors is an integer number (9016410).

Almost surely, 2132746427 is an apocalyptic number.

132746427 is a deficient number, since it is larger than the sum of its proper divisors (83647413).

132746427 is a wasteful number, since it uses less digits than its factorization.

132746427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46283 (or 46280 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 132746427 is about 11521.5635657666. The cubic root of 132746427 is about 510.1222659570.

It can be divided in two parts, 13274 and 6427, that added together give a triangular number (19701 = T198).

The spelling of 132746427 in words is "one hundred thirty-two million, seven hundred forty-six thousand, four hundred twenty-seven".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 46237 138711 416133 508607 1340873 1525821 4022619 4577463 12067857 14749603 44248809 132746427