Search a number
-
+
132916788 = 22342771481
BaseRepresentation
bin1111110110000…
…10011000110100
3100021002212120000
413323002120310
5233011314123
621104511300
73202526334
oct773023064
9307085500
10132916788
1169034394
123861b530
13216ca2b4
141391d0c4
15ba07b43
hex7ec2634

132916788 has 60 divisors (see below), whose sum is σ = 348960612. Its totient is φ = 44115840.

The previous prime is 132916769. The next prime is 132916801. The reversal of 132916788 is 887619231.

It can be written as a sum of positive squares in 2 ways, for example, as 38787984 + 94128804 = 6228^2 + 9702^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89008 + ... + 90488.

Almost surely, 2132916788 is an apocalyptic number.

132916788 is a gapful number since it is divisible by the number (18) 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 132916788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174480306).

132916788 is an abundant number, since it is smaller than the sum of its proper divisors (216043824).

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

132916788 is a wasteful number, since it uses less digits than its factorization.

132916788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1763 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 132916788 is about 11528.9543324622. The cubic root of 132916788 is about 510.3403955924.

The spelling of 132916788 in words is "one hundred thirty-two million, nine hundred sixteen thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 277 324 554 831 1108 1481 1662 2493 2962 3324 4443 4986 5924 7479 8886 9972 13329 14958 17772 22437 26658 29916 39987 44874 53316 79974 89748 119961 159948 239922 410237 479844 820474 1230711 1640948 2461422 3692133 4922844 7384266 11076399 14768532 22152798 33229197 44305596 66458394 132916788