Search a number
-
+
100787128 = 23136115887
BaseRepresentation
bin1100000000111…
…10001110111000
321000122111221121
412000132032320
5201300142003
614000115024
72332451011
oct600361670
9230574847
10100787128
1151989952
1229905a74
1317b5ab70
14d558008
158caccbd
hex601e3b8

100787128 has 32 divisors (see below), whose sum is σ = 206861760. Its totient is φ = 45751680.

The previous prime is 100787119. The next prime is 100787131. The reversal of 100787128 is 821787001.

It is a junction number, because it is equal to n+sod(n) for n = 100787093 and 100787102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1600 + ... + 14287.

It is an arithmetic number, because the mean of its divisors is an integer number (6464430).

Almost surely, 2100787128 is an apocalyptic number.

It is an amenable number.

100787128 is an abundant number, since it is smaller than the sum of its proper divisors (106074632).

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

100787128 is a wasteful number, since it uses less digits than its factorization.

100787128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15967 (or 15963 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 34.

The square root of 100787128 is about 10039.2792569985. The cubic root of 100787128 is about 465.3735434493.

The spelling of 100787128 in words is "one hundred million, seven hundred eighty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 6344 15887 31774 63548 127096 206531 413062 826124 969107 1652248 1938214 3876428 7752856 12598391 25196782 50393564 100787128