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132829936 = 2425732303
BaseRepresentation
bin1111110101011…
…01001011110000
3100020221110102021
413322231023300
5233001024221
621103001224
73202015201
oct772551360
9306843367
10132829936
1168a85108
1238599214
13216998c5
14138d95a8
15b9dc041
hex7ead2f0

132829936 has 20 divisors (see below), whose sum is σ = 258367392. Its totient is φ = 66154496.

The previous prime is 132829909. The next prime is 132829937. The reversal of 132829936 is 639928231.

It is a super-3 number, since 3×1328299363 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132829892 and 132829901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132829937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12040 + ... + 20263.

Almost surely, 2132829936 is an apocalyptic number.

132829936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132829936 is a deficient number, since it is larger than the sum of its proper divisors (125537456).

132829936 is a wasteful number, since it uses less digits than its factorization.

132829936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32568 (or 32562 counting only the distinct ones).

The product of its digits is 139968, while the sum is 43.

The square root of 132829936 is about 11525.1870266820. The cubic root of 132829936 is about 510.2292138963.

The spelling of 132829936 in words is "one hundred thirty-two million, eight hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 257 514 1028 2056 4112 32303 64606 129212 258424 516848 8301871 16603742 33207484 66414968 132829936