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132351500 = 22531511753
BaseRepresentation
bin1111110001110…
…00011000001100
3100020001011010102
413320320120030
5232340222000
621044430232
73164653301
oct770703014
9306034112
10132351500
1168788706
12383a8378
132155cbc8
14138130a8
15b9453d5
hex7e3860c

132351500 has 48 divisors (see below), whose sum is σ = 291135936. Its totient is φ = 52560000.

The previous prime is 132351481. The next prime is 132351509. The reversal of 132351500 is 5153231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (132351509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74624 + ... + 76376.

It is an arithmetic number, because the mean of its divisors is an integer number (6065332).

Almost surely, 2132351500 is an apocalyptic number.

132351500 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 132351500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145567968).

132351500 is an abundant number, since it is smaller than the sum of its proper divisors (158784436).

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

132351500 is a wasteful number, since it uses less digits than its factorization.

132351500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 132351500 is about 11504.4121970660. The cubic root of 132351500 is about 509.6158840353.

The spelling of 132351500 in words is "one hundred thirty-two million, three hundred fifty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 151 250 302 500 604 755 1510 1753 3020 3506 3775 7012 7550 8765 15100 17530 18875 35060 37750 43825 75500 87650 175300 219125 264703 438250 529406 876500 1058812 1323515 2647030 5294060 6617575 13235150 26470300 33087875 66175750 132351500