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136350846 = 232173712043
BaseRepresentation
bin10000010000010…
…00110001111110
3100111120100012100
420020020301332
5234401211341
621310245530
73243651222
oct1010106176
9314510170
10136350846
116aa6a455
12397b68a6
1322330398
1414174782
15be853b6
hex8208c7e

136350846 has 48 divisors (see below), whose sum is σ = 321285744. Its totient is φ = 41617152.

The previous prime is 136350793. The next prime is 136350847. The reversal of 136350846 is 648053631.

136350846 is a `hidden beast` number, since 13 + 635 + 0 + 8 + 4 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 136350846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136350847) 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 23 ways as a sum of consecutive naturals, for example, 5301 + ... + 17343.

It is an arithmetic number, because the mean of its divisors is an integer number (6693453).

Almost surely, 2136350846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136350846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160642872).

136350846 is an abundant number, since it is smaller than the sum of its proper divisors (184934898).

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

136350846 is a wasteful number, since it uses less digits than its factorization.

136350846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12105 (or 12102 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 136350846 is about 11676.9364989281. The cubic root of 136350846 is about 514.6981559843.

The spelling of 136350846 in words is "one hundred thirty-six million, three hundred fifty thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 11322 12043 24086 36129 72258 108387 204731 216774 409462 445591 614193 891182 1228386 1336773 1842579 2673546 3685158 4010319 7575047 8020638 15150094 22725141 45450282 68175423 136350846