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872817136 = 241921371103
BaseRepresentation
bin110100000001100…
…010000111110000
32020211100201000121
4310001202013300
53241420122021
6222335300024
730425552242
oct6401420760
92224321017
10872817136
11408756484
1220437a614
1310ba99a59
1483cc2092
155195c741
hex340621f0

872817136 has 60 divisors (see below), whose sum is σ = 1799429472. Its totient is φ = 410049792.

The previous prime is 872817103. The next prime is 872817151. The reversal of 872817136 is 631718278.

It is a junction number, because it is equal to n+sod(n) for n = 872817092 and 872817101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 790761 + ... + 791863.

Almost surely, 2872817136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872817136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899714736).

872817136 is an abundant number, since it is smaller than the sum of its proper divisors (926612336).

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

872817136 is a wasteful number, since it uses less digits than its factorization.

872817136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1261 counting only the distinct ones).

The product of its digits is 112896, while the sum is 43.

The square root of 872817136 is about 29543.4787389705. The cubic root of 872817136 is about 955.6695636180.

The spelling of 872817136 in words is "eight hundred seventy-two million, eight hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 137 152 274 304 361 548 722 1096 1103 1444 2192 2206 2603 2888 4412 5206 5776 8824 10412 17648 20824 20957 41648 41914 49457 83828 98914 151111 167656 197828 302222 335312 395656 398183 604444 791312 796366 1208888 1592732 2417776 2871109 3185464 5742218 6370928 11484436 22968872 45937744 54551071 109102142 218204284 436408568 872817136