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132756496 = 2419617159
BaseRepresentation
bin1111110100110…
…11010000010000
3100020210201200021
413322123100100
5232441201441
621101233224
73201261115
oct772332020
9306721607
10132756496
1168a34a14
1238562814
1321672352
14138ba90c
15b9c53d1
hex7e9b410

132756496 has 40 divisors (see below), whose sum is σ = 275230400. Its totient is φ = 61845120.

The previous prime is 132756493. The next prime is 132756497. The reversal of 132756496 is 694657231.

It is not an unprimeable number, because it can be changed into a prime (132756493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14965 + ... + 22123.

It is an arithmetic number, because the mean of its divisors is an integer number (6880760).

Almost surely, 2132756496 is an apocalyptic number.

132756496 is a gapful number since it is divisible by the number (16) 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 132756496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137615200).

132756496 is an abundant number, since it is smaller than the sum of its proper divisors (142473904).

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

132756496 is a wasteful number, since it uses less digits than its factorization.

132756496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247 (or 7241 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The square root of 132756496 is about 11522.0005207429. Note that the first 3 decimals coincide. The cubic root of 132756496 is about 510.1351634573.

The spelling of 132756496 in words is "one hundred thirty-two million, seven hundred fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 244 304 488 976 1159 2318 4636 7159 9272 14318 18544 28636 57272 114544 136021 272042 436699 544084 873398 1088168 1746796 2176336 3493592 6987184 8297281 16594562 33189124 66378248 132756496