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132087348 = 22341723981
BaseRepresentation
bin1111101111101…
…11111000110100
3100012112201210000
413313313320310
5232303243343
621035031300
73162503211
oct767677064
9305481700
10132087348
11686181a8
123829b530
13214998c3
1413784b08
15b8e1ed3
hex7df7e34

132087348 has 60 divisors (see below), whose sum is σ = 365629572. Its totient is φ = 41437440.

The previous prime is 132087341. The next prime is 132087349. The reversal of 132087348 is 843780231.

It can be written as a sum of positive squares in 2 ways, for example, as 35497764 + 96589584 = 5958^2 + 9828^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132087341) 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 19 ways as a sum of consecutive naturals, for example, 6483 + ... + 17498.

Almost surely, 2132087348 is an apocalyptic number.

132087348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132087348 is an abundant number, since it is smaller than the sum of its proper divisors (233542224).

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

132087348 is a wasteful number, since it uses less digits than its factorization.

132087348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24014 (or 24003 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 132087348 is about 11492.9259981956. The cubic root of 132087348 is about 509.2766215117.

The spelling of 132087348 in words is "one hundred thirty-two million, eighty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 23981 47962 71943 95924 143886 215829 287772 407677 431658 647487 815354 863316 1223031 1294974 1630708 1942461 2446062 2589948 3669093 3884922 4892124 7338186 7769844 11007279 14676372 22014558 33021837 44029116 66043674 132087348