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132014004 = 22361180347
BaseRepresentation
bin1111101111001…
…01111110110100
3100012102000011120
413313211332310
5232243422004
621033303540
73162046323
oct767457664
9305360146
10132014004
1168578091
1238264bb0
13214723c5
14137660ba
15b8ca3d9
hex7de5fb4

132014004 has 24 divisors (see below), whose sum is σ = 313084128. Its totient is φ = 43283040.

The previous prime is 132013963. The next prime is 132014009. The reversal of 132014004 is 400410231.

It is a super-2 number, since 2×1320140042 = 34855394504224032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132014009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89442 + ... + 90905.

It is an arithmetic number, because the mean of its divisors is an integer number (13045172).

Almost surely, 2132014004 is an apocalyptic number.

It is an amenable number.

132014004 is an abundant number, since it is smaller than the sum of its proper divisors (181070124).

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

132014004 is a wasteful number, since it uses less digits than its factorization.

132014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180415 (or 180413 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 132014004 is about 11489.7347227862. The cubic root of 132014004 is about 509.1823422317.

Adding to 132014004 its reverse (400410231), we get a palindrome (532424235).

It can be divided in two parts, 13201 and 4004, that added together give a triangular number (17205 = T185).

The spelling of 132014004 in words is "one hundred thirty-two million, fourteen thousand, four".

Divisors: 1 2 3 4 6 12 61 122 183 244 366 732 180347 360694 541041 721388 1082082 2164164 11001167 22002334 33003501 44004668 66007002 132014004