Search a number
-
+
136932824 = 2371728461
BaseRepresentation
bin10000010100101…
…10110111011000
3100112122220112002
420022112313120
5240023322244
621330540132
73251624030
oct1012266730
9315586462
10136932824
1170327726
1239a37648
13224a5252
14142868c0
15c04ca4e
hex8296dd8

136932824 has 48 divisors (see below), whose sum is σ = 311740080. Its totient is φ = 55226880.

The previous prime is 136932821. The next prime is 136932827. The reversal of 136932824 is 428239631.

It is an interprime number because it is at equal distance from previous prime (136932821) and next prime (136932827).

It is a super-2 number, since 2×1369328242 = 37501196577229952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136932821) 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 11 ways as a sum of consecutive naturals, for example, 11954 + ... + 20414.

It is an arithmetic number, because the mean of its divisors is an integer number (6494585).

Almost surely, 2136932824 is an apocalyptic number.

136932824 is a gapful number since it is divisible by the number (14) 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 136932824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155870040).

136932824 is an abundant number, since it is smaller than the sum of its proper divisors (174807256).

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

136932824 is a wasteful number, since it uses less digits than its factorization.

136932824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508 (or 8487 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 136932824 is about 11701.8299423637. The cubic root of 136932824 is about 515.4294015081.

The spelling of 136932824 in words is "one hundred thirty-six million, nine hundred thirty-two thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 476 578 952 1156 2023 2312 4046 8092 8461 16184 16922 33844 59227 67688 118454 143837 236908 287674 473816 575348 1006859 1150696 2013718 2445229 4027436 4890458 8054872 9780916 17116603 19561832 34233206 68466412 136932824