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135926352 = 24321635791
BaseRepresentation
bin10000001101000…
…01001001010000
3100110202202220100
420012201021100
5234244120402
621253212400
73240232512
oct1006411120
9313682810
10135926352
116a7aa531
1239631100
13222120c3
14140a3bb2
15bdee71c
hex81a1250

135926352 has 60 divisors (see below), whose sum is σ = 382804864. Its totient is φ = 45023040.

The previous prime is 135926341. The next prime is 135926363. The reversal of 135926352 is 253629531.

135926352 is a `hidden beast` number, since 1 + 3 + 592 + 63 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (135926341) and next prime (135926363).

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

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, 20577 + ... + 26367.

Almost surely, 2135926352 is an apocalyptic number.

135926352 is a gapful number since it is divisible by the number (12) 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 135926352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191402432).

135926352 is an abundant number, since it is smaller than the sum of its proper divisors (246878512).

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

135926352 is a wasteful number, since it uses less digits than its factorization.

135926352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5968 (or 5959 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 135926352 is about 11658.7457301375. The cubic root of 135926352 is about 514.1634730630.

The spelling of 135926352 in words is "one hundred thirty-five million, nine hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 652 978 1304 1467 1956 2608 2934 3912 5791 5868 7824 11582 11736 17373 23164 23472 34746 46328 52119 69492 92656 104238 138984 208476 277968 416952 833904 943933 1887866 2831799 3775732 5663598 7551464 8495397 11327196 15102928 16990794 22654392 33981588 45308784 67963176 135926352