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132004014 = 231731109383
BaseRepresentation
bin1111101111000…
…11100010101110
3100012101111110120
413313203202232
5232243112024
621033145410
73162005232
oct767434256
9305344416
10132004014
116857062a
123825b266
132146a9ac
14137625c2
15b8c7479
hex7de38ae

132004014 has 64 divisors (see below), whose sum is σ = 291962880. Its totient is φ = 39605760.

The previous prime is 132004009. The next prime is 132004043. The reversal of 132004014 is 410400231.

It is a super-2 number, since 2×1320040142 = 34850119424224392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132003984 and 132004002.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 344467 + ... + 344849.

It is an arithmetic number, because the mean of its divisors is an integer number (4561920).

Almost surely, 2132004014 is an apocalyptic number.

132004014 is an abundant number, since it is smaller than the sum of its proper divisors (159958866).

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

132004014 is a wasteful number, since it uses less digits than its factorization.

132004014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545.

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

The square root of 132004014 is about 11489.2999786758. The cubic root of 132004014 is about 509.1694979885.

Adding to 132004014 its reverse (410400231), we get a palindrome (542404245).

The spelling of 132004014 in words is "one hundred thirty-two million, four thousand, fourteen".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 109 186 218 327 383 527 654 766 1054 1149 1581 1853 2298 3162 3379 3706 5559 6511 6758 10137 11118 11873 13022 19533 20274 23746 35619 39066 41747 57443 71238 83494 114886 125241 172329 201841 250482 344658 403682 605523 709699 1211046 1294157 1419398 2129097 2588314 3882471 4258194 7764942 22000669 44001338 66002007 132004014