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136758240 = 2533531657
BaseRepresentation
bin10000010011011…
…00001111100000
3100112100001001000
420021230033200
5240002230430
621323112000
73250266033
oct1011541740
9315301030
10136758240
1170218543
1239972600
1322443948
141423d01a
15c015e60
hex826c3e0

136758240 has 96 divisors (see below), whose sum is σ = 478668960. Its totient is φ = 36467712.

The previous prime is 136758233. The next prime is 136758241. The reversal of 136758240 is 42857631.

136758240 is a `hidden beast` number, since 1 + 36 + 7 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 136758195 and 136758204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136758241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11509 + ... + 20148.

It is an arithmetic number, because the mean of its divisors is an integer number (4986135).

Almost surely, 2136758240 is an apocalyptic number.

136758240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136758240 is an abundant number, since it is smaller than the sum of its proper divisors (341910720).

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

136758240 is a wasteful number, since it uses less digits than its factorization.

136758240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31681 (or 31667 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 136758240 is about 11694.3678751782. The cubic root of 136758240 is about 515.2102575662.

The spelling of 136758240 in words is "one hundred thirty-six million, seven hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 31657 63314 94971 126628 158285 189942 253256 284913 316570 379884 474855 506512 569826 633140 759768 854739 949710 1013024 1139652 1266280 1424565 1519536 1709478 1899420 2279304 2532560 2849130 3039072 3418956 3798840 4273695 4558608 5065120 5698260 6837912 7597680 8547390 9117216 11396520 13675824 15195360 17094780 22793040 27351648 34189560 45586080 68379120 136758240