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134882832 = 24372291753
BaseRepresentation
bin10000000101000…
…10011000010000
3100101210202110110
420002202120100
5234012222312
621215001320
73225325260
oct1002423020
9311722413
10134882832
116a157517
1239209240
1321c38136
1413cb17a0
15bc9543c
hex80a2610

134882832 has 80 divisors (see below), whose sum is σ = 400192640. Its totient is φ = 38347776.

The previous prime is 134882821. The next prime is 134882837. The reversal of 134882832 is 238288431.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (134882837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76068 + ... + 77820.

It is an arithmetic number, because the mean of its divisors is an integer number (5002408).

Almost surely, 2134882832 is an apocalyptic number.

134882832 is a gapful number since it is divisible by the number (12) 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 134882832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200096320).

134882832 is an abundant number, since it is smaller than the sum of its proper divisors (265309808).

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

134882832 is a wasteful number, since it uses less digits than its factorization.

134882832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1994 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 134882832 is about 11613.9068362029. The cubic root of 134882832 is about 512.8443303341.

The spelling of 134882832 in words is "one hundred thirty-four million, eight hundred eighty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 229 336 458 687 916 1374 1603 1753 1832 2748 3206 3506 3664 4809 5259 5496 6412 7012 9618 10518 10992 12271 12824 14024 19236 21036 24542 25648 28048 36813 38472 42072 49084 73626 76944 84144 98168 147252 196336 294504 401437 589008 802874 1204311 1605748 2408622 2810059 3211496 4817244 5620118 6422992 8430177 9634488 11240236 16860354 19268976 22480472 33720708 44960944 67441416 134882832