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132996162 = 231319432087
BaseRepresentation
bin1111110110101…
…01110001000010
3100021020220102210
413323111301002
5233021334122
621110322550
73203306625
oct773256102
9307226383
10132996162
1169088a92
1238659456
1321727470
141393ddbc
15ba2140c
hex7ed5c42

132996162 has 64 divisors (see below), whose sum is σ = 308689920. Its totient is φ = 37848384.

The previous prime is 132996161. The next prime is 132996163. The reversal of 132996162 is 261699231.

It is an interprime number because it is at equal distance from previous prime (132996161) and next prime (132996163).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 132996162.

It is not an unprimeable number, because it can be changed into a prime (132996161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62683 + ... + 64769.

It is an arithmetic number, because the mean of its divisors is an integer number (4823280).

Almost surely, 2132996162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132996162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154344960).

132996162 is an abundant number, since it is smaller than the sum of its proper divisors (175693758).

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

132996162 is a wasteful number, since it uses less digits than its factorization.

132996162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167.

The product of its digits is 34992, while the sum is 39.

The square root of 132996162 is about 11532.3961950672. The cubic root of 132996162 is about 510.4419621401.

The spelling of 132996162 in words is "one hundred thirty-two million, nine hundred ninety-six thousand, one hundred sixty-two".

Divisors: 1 2 3 6 13 19 26 38 39 43 57 78 86 114 129 247 258 494 559 741 817 1118 1482 1634 1677 2087 2451 3354 4174 4902 6261 10621 12522 21242 27131 31863 39653 54262 63726 79306 81393 89741 118959 162786 179482 237918 269223 515489 538446 1030978 1166633 1546467 1705079 2333266 3092934 3410158 3499899 5115237 6999798 10230474 22166027 44332054 66498081 132996162