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132073120 = 2551097573
BaseRepresentation
bin1111101111101…
…00011010100000
3100012112000021001
413313310122200
5232302314440
621034441344
73162413554
oct767643240
9305460231
10132073120
1168608543
1238293254
132149329a
141377d864
15b8dcb9a
hex7df46a0

132073120 has 48 divisors (see below), whose sum is σ = 314926920. Its totient is φ = 52337664.

The previous prime is 132073103. The next prime is 132073121. The reversal of 132073120 is 21370231.

It can be written as a sum of positive squares in 4 ways, for example, as 132066064 + 7056 = 11492^2 + 84^2 .

It is not an unprimeable number, because it can be changed into a prime (132073121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13654 + ... + 21226.

Almost surely, 2132073120 is an apocalyptic number.

132073120 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 132073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157463460).

132073120 is an abundant number, since it is smaller than the sum of its proper divisors (182853800).

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

132073120 is a wasteful number, since it uses less digits than its factorization.

132073120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7697 (or 7689 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 132073120 is about 11492.3069920708. The cubic root of 132073120 is about 509.2583350064.

The spelling of 132073120 in words is "one hundred thirty-two million, seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3488 4360 7573 8720 15146 17440 30292 37865 60584 75730 121168 151460 242336 302920 605840 825457 1211680 1650914 3301828 4127285 6603656 8254570 13207312 16509140 26414624 33018280 66036560 132073120