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135926208 = 2633117151
BaseRepresentation
bin10000001101000…
…01000111000000
3100110202202201000
420012201013000
5234244114313
621253212000
73240232215
oct1006410700
9313682630
10135926208
116a7aa410
1239631000
1322212012
14140a3b0c
15bdee673
hex81a11c0

135926208 has 112 divisors (see below), whose sum is σ = 435985920. Its totient is φ = 41184000.

The previous prime is 135926207. The next prime is 135926243. The reversal of 135926208 is 802629531.

135926208 is a `hidden beast` number, since 1 + 3 + 592 + 62 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135926201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15433 + ... + 22583.

Almost surely, 2135926208 is an apocalyptic number.

135926208 is a gapful number since it is divisible by the number (18) 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 135926208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217992960).

135926208 is an abundant number, since it is smaller than the sum of its proper divisors (300059712).

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

135926208 is a wasteful number, since it uses less digits than its factorization.

135926208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7183 (or 7167 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 135926208 is about 11658.7395545145. The cubic root of 135926208 is about 514.1632914952.

The spelling of 135926208 in words is "one hundred thirty-five million, nine hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 7151 9504 14302 19008 21453 28604 42906 57208 64359 78661 85812 114416 128718 157322 171624 193077 228832 235983 257436 314644 343248 386154 457664 471966 514872 629288 686496 707949 772308 943932 1029744 1258576 1372992 1415898 1544616 1887864 2059488 2123847 2517152 2831796 3089232 3775728 4118976 4247694 5034304 5663592 6178464 7551456 8495388 11327184 12356928 15102912 16990776 22654368 33981552 45308736 67963104 135926208