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132047520 = 25351189281
BaseRepresentation
bin1111101111011…
…10001010100000
3100012110201010220
413313232022200
5232301010040
621034123040
73162246123
oct767561240
9305421126
10132047520
11685a0290
1238280480
1321484737
14137743ba
15b8d52d0
hex7dee2a0

132047520 has 192 divisors, whose sum is σ = 460494720. Its totient is φ = 31539200.

The previous prime is 132047491. The next prime is 132047557. The reversal of 132047520 is 25740231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469780 + ... + 470060.

It is an arithmetic number, because the mean of its divisors is an integer number (2398410).

Almost surely, 2132047520 is an apocalyptic number.

132047520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132047520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230247360).

132047520 is an abundant number, since it is smaller than the sum of its proper divisors (328447200).

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

132047520 is a wasteful number, since it uses less digits than its factorization.

132047520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 132047520 is about 11491.1931495385. The cubic root of 132047520 is about 509.2254293559.

Adding to 132047520 its reverse (25740231), we get a palindrome (157787751).

It can be divided in two parts, 1320 and 47520, that multiplied together give a square (62726400 = 79202).

The spelling of 132047520 in words is "one hundred thirty-two million, forty-seven thousand, five hundred twenty".