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136893042 = 232111324091
BaseRepresentation
bin10000010100011…
…01001001110010
3100112120212221200
420022031021302
5240021034132
621330032030
73251400036
oct1012151162
9315525850
10136893042
11702aa850
1239a18616
1322490100
14142761c6
15c040d7c
hex828d272

136893042 has 72 divisors (see below), whose sum is σ = 350455248. Its totient is φ = 38282400.

The previous prime is 136893023. The next prime is 136893067. The reversal of 136893042 is 240398631.

It is a junction number, because it is equal to n+sod(n) for n = 136892988 and 136893006.

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 35 ways as a sum of consecutive naturals, for example, 31417 + ... + 35507.

It is an arithmetic number, because the mean of its divisors is an integer number (4867434).

Almost surely, 2136893042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136893042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175227624).

136893042 is an abundant number, since it is smaller than the sum of its proper divisors (213562206).

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

136893042 is a wasteful number, since it uses less digits than its factorization.

136893042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 136893042 is about 11700.1299992778. The cubic root of 136893042 is about 515.3794821441.

The spelling of 136893042 in words is "one hundred thirty-six million, eight hundred ninety-three thousand, forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 169 198 234 286 338 429 507 858 1014 1287 1521 1859 2574 3042 3718 4091 5577 8182 11154 12273 16731 24546 33462 36819 45001 53183 73638 90002 106366 135003 159549 270006 319098 405009 478647 585013 691379 810018 957294 1170026 1382758 1755039 2074137 3510078 4148274 5265117 6222411 7605169 10530234 12444822 15210338 22815507 45631014 68446521 136893042