[go: up one dir, main page]

Search a number
-
+
136907136 = 2732118843
BaseRepresentation
bin10000010100100…
…00100110000000
3100112121121021200
420022100212000
5240022012021
621330221200
73251456112
oct1012204600
9315547250
10136907136
117030a3a3
1239a24800
1322496652
141427b3b2
15c045126
hex8290980

136907136 has 48 divisors (see below), whose sum is σ = 393967860. Its totient is φ = 45635328.

The previous prime is 136907131. The next prime is 136907153. The reversal of 136907136 is 631709631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1369071363 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 136907136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136907131) 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 5 ways as a sum of consecutive naturals, for example, 58270 + ... + 60573.

Almost surely, 2136907136 is an apocalyptic number.

136907136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136907136 is an abundant number, since it is smaller than the sum of its proper divisors (257060724).

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

136907136 is a wasteful number, since it uses less digits than its factorization.

136907136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118863 (or 118848 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 136907136 is about 11700.7322847760. The cubic root of 136907136 is about 515.3971687239.

The spelling of 136907136 in words is "one hundred thirty-six million, nine hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 118843 237686 356529 475372 713058 950744 1069587 1426116 1901488 2139174 2852232 3802976 4278348 5704464 7605952 8556696 11408928 15211904 17113392 22817856 34226784 45635712 68453568 136907136