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136100048 = 2472672591
BaseRepresentation
bin10000001110010…
…11100011010000
3100111002121011112
420013023203100
5234320200143
621301032452
73241555100
oct1007134320
9314077145
10136100048
116a908a87
12396b5728
1322273196
141410b200
15be35e18
hex81cb8d0

136100048 has 60 divisors (see below), whose sum is σ = 311444352. Its totient is φ = 57435840.

The previous prime is 136099991. The next prime is 136100053. The reversal of 136100048 is 840001631.

It is a junction number, because it is equal to n+sod(n) for n = 136099996 and 136100032.

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, 51233 + ... + 53823.

Almost surely, 2136100048 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 136100048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155722176).

136100048 is an abundant number, since it is smaller than the sum of its proper divisors (175344304).

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

136100048 is a wasteful number, since it uses less digits than its factorization.

136100048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 136100048 is about 11666.1925236986. The cubic root of 136100048 is about 514.3823909376.

Adding to 136100048 its reverse (840001631), we get a palindrome (976101679).

The spelling of 136100048 in words is "one hundred thirty-six million, one hundred thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 67 98 112 134 196 268 392 469 536 784 938 1072 1876 2591 3283 3752 5182 6566 7504 10364 13132 18137 20728 26264 36274 41456 52528 72548 126959 145096 173597 253918 290192 347194 507836 694388 1015672 1215179 1388776 2031344 2430358 2777552 4860716 8506253 9721432 17012506 19442864 34025012 68050024 136100048