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132040320 = 273568771
BaseRepresentation
bin1111101111011…
…00011010000000
3100012110100021020
413313230122000
5232300242240
621034025440
73162216126
oct767543200
9305410236
10132040320
1168595935
1238278280
1321481389
1413771916
15b8d30d0
hex7dec680

132040320 has 64 divisors (see below), whose sum is σ = 420884640. Its totient is φ = 35210240.

The previous prime is 132040313. The next prime is 132040339. The reversal of 132040320 is 23040231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1320403202 = 34869292211404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132040320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32466 + ... + 36305.

Almost surely, 2132040320 is an apocalyptic number.

132040320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132040320 is an abundant number, since it is smaller than the sum of its proper divisors (288844320).

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

132040320 is an equidigital number, since it uses as much as digits as its factorization.

132040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68793 (or 68781 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 132040320 is about 11490.8798618731. The cubic root of 132040320 is about 509.2161738754.

Adding to 132040320 its reverse (23040231), we get a palindrome (155080551).

The spelling of 132040320 in words is "one hundred thirty-two million, forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 68771 137542 206313 275084 343855 412626 550168 687710 825252 1031565 1100336 1375420 1650504 2063130 2200672 2750840 3301008 4126260 4401344 5501680 6602016 8252520 8802688 11003360 13204032 16505040 22006720 26408064 33010080 44013440 66020160 132040320