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132669696 = 283227761
BaseRepresentation
bin1111110100001…
…10000100000000
3100020122022121110
413322012010000
5232430412241
621055323320
73200450055
oct772060400
9306568543
10132669696
1168985785
1238520540
13216419a3
141389702c
15b9a9816
hex7e86100

132669696 has 72 divisors (see below), whose sum is σ = 355116384. Its totient is φ = 43970560.

The previous prime is 132669671. The next prime is 132669697. The reversal of 132669696 is 696966231.

It is a happy number.

132669696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132669697) 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, 173956 + ... + 174716.

It is an arithmetic number, because the mean of its divisors is an integer number (4932172).

Almost surely, 2132669696 is an apocalyptic number.

132669696 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 132669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177558192).

132669696 is an abundant number, since it is smaller than the sum of its proper divisors (222446688).

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

132669696 is an equidigital number, since it uses as much as digits as its factorization.

132669696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 993 counting only the distinct ones).

The product of its digits is 629856, while the sum is 48.

The square root of 132669696 is about 11518.2331978477. The cubic root of 132669696 is about 510.0239588898.

The spelling of 132669696 in words is "one hundred thirty-two million, six hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 454 681 761 768 908 1362 1522 1816 2283 2724 3044 3632 4566 5448 6088 7264 9132 10896 12176 14528 18264 21792 24352 29056 36528 43584 48704 58112 73056 87168 97408 146112 172747 174336 194816 292224 345494 518241 584448 690988 1036482 1381976 2072964 2763952 4145928 5527904 8291856 11055808 16583712 22111616 33167424 44223232 66334848 132669696