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132342696 = 23325379439
BaseRepresentation
bin1111110001101…
…10001110101000
3100020000201001100
413320312032220
5232334431241
621044321400
73164615523
oct770661650
9306021040
10132342696
1168782032
12383a3260
1321558bb5
141380dbba
15b9429b6
hex7e363a8

132342696 has 96 divisors (see below), whose sum is σ = 370656000. Its totient is φ = 42636672.

The previous prime is 132342659. The next prime is 132342697. The reversal of 132342696 is 696243231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (46656) is a multiple of the sum of its prime divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 132342696.

It is not an unprimeable number, because it can be changed into a prime (132342697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301245 + ... + 301683.

It is an arithmetic number, because the mean of its divisors is an integer number (3861000).

Almost surely, 2132342696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132342696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185328000).

132342696 is an abundant number, since it is smaller than the sum of its proper divisors (238313304).

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

132342696 is a wasteful number, since it uses less digits than its factorization.

132342696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 132342696 is about 11504.0295548994. The cubic root of 132342696 is about 509.6045839298.

The spelling of 132342696 in words is "one hundred thirty-two million, three hundred forty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 79 106 158 159 212 237 316 318 424 439 474 477 632 636 711 878 948 954 1272 1317 1422 1756 1896 1908 2634 2844 3512 3816 3951 4187 5268 5688 7902 8374 10536 12561 15804 16748 23267 25122 31608 33496 34681 37683 46534 50244 69362 69801 75366 93068 100488 104043 138724 139602 150732 186136 208086 209403 277448 279204 301464 312129 416172 418806 558408 624258 832344 837612 1248516 1675224 1838093 2497032 3676186 5514279 7352372 11028558 14704744 16542837 22057116 33085674 44114232 66171348 132342696