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132122048 = 2619179607
BaseRepresentation
bin1111110000000…
…00010111000000
3100012121111101012
413320000113000
5232310401143
621035500052
73163006322
oct770002700
9305544335
10132122048
1168641283
12382b7628
13214ac636
1413793612
15b8ec418
hex7e005c0

132122048 has 56 divisors (see below), whose sum is σ = 277977600. Its totient is φ = 62131968.

The previous prime is 132122047. The next prime is 132122059. The reversal of 132122048 is 840221231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122047) 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, 217361 + ... + 217967.

Almost surely, 2132122048 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 132122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138988800).

132122048 is an abundant number, since it is smaller than the sum of its proper divisors (145855552).

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

132122048 is a wasteful number, since it uses less digits than its factorization.

132122048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 132122048 is about 11494.4355233304. The cubic root of 132122048 is about 509.3212141033.

Adding to 132122048 its reverse (840221231), we get a palindrome (972343279).

The spelling of 132122048 in words is "one hundred thirty-two million, one hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 179 304 358 607 608 716 1214 1216 1432 2428 2864 3401 4856 5728 6802 9712 11456 11533 13604 19424 23066 27208 38848 46132 54416 92264 108653 108832 184528 217306 217664 369056 434612 738112 869224 1738448 2064407 3476896 4128814 6953792 8257628 16515256 33030512 66061024 132122048