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132004210 = 25132194111
BaseRepresentation
bin1111101111000…
…11100101110010
3100012101111201211
413313203211302
5232243113320
621033150334
73162005632
oct767434562
9305344654
10132004210
1168570798
123825b3aa
132146ab00
14137626c2
15b8c755a
hex7de3972

132004210 has 48 divisors (see below), whose sum is σ = 270898560. Its totient is φ = 46163520.

The previous prime is 132004141. The next prime is 132004211. The reversal of 132004210 is 12400231.

It is a super-2 number, since 2×1320042102 = 34850222915448200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (132004211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30055 + ... + 34165.

It is an arithmetic number, because the mean of its divisors is an integer number (5643720).

Almost surely, 2132004210 is an apocalyptic number.

132004210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132004210 is an abundant number, since it is smaller than the sum of its proper divisors (138894350).

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

132004210 is a wasteful number, since it uses less digits than its factorization.

132004210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 132004210 is about 11489.3085083481. The cubic root of 132004210 is about 509.1697499939.

Adding to 132004210 its reverse (12400231), we get a palindrome (144404441).

The spelling of 132004210 in words is "one hundred thirty-two million, four thousand, two hundred ten".

Divisors: 1 2 5 10 13 19 26 38 65 95 130 169 190 247 338 494 845 1235 1690 2470 3211 4111 6422 8222 16055 20555 32110 41110 53443 78109 106886 156218 267215 390545 534430 694759 781090 1015417 1389518 2030834 3473795 5077085 6947590 10154170 13200421 26400842 66002105 132004210