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135862496 = 2572117877
BaseRepresentation
bin10000001100100…
…01100011100000
3100110122112022022
420012101203200
5234240044441
621252001012
73236545400
oct1006214340
9313575268
10135862496
116a766560
1239600168
13221bc013
1414088800
15bdda84b
hex81918e0

135862496 has 72 divisors (see below), whose sum is σ = 339478776. Its totient is φ = 52926720.

The previous prime is 135862457. The next prime is 135862511. The reversal of 135862496 is 694268531.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13310 + ... + 21186.

It is an arithmetic number, because the mean of its divisors is an integer number (4714983).

Almost surely, 2135862496 is an apocalyptic number.

135862496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135862496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169739388).

135862496 is an abundant number, since it is smaller than the sum of its proper divisors (203616280).

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

135862496 is a wasteful number, since it uses less digits than its factorization.

135862496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7897 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 135862496 is about 11656.0068634160. The cubic root of 135862496 is about 514.0829452258.

The spelling of 135862496 in words is "one hundred thirty-five million, eight hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 7877 8624 15754 17248 31508 55139 63016 86647 110278 126032 173294 220556 252064 346588 385973 441112 606529 693176 771946 882224 1213058 1386352 1543892 1764448 2426116 2772704 3087784 4245703 4852232 6175568 8491406 9704464 12351136 16982812 19408928 33965624 67931248 135862496