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135433296 = 2434313371
BaseRepresentation
bin10000001001010…
…00110001010000
3100102211201120000
420010220301100
5234132331141
621234450000
73233110155
oct1004506120
9312751500
10135433296
116a4a3049
1239433900
132209b85b
1413db622c
15bd535b6
hex8128c50

135433296 has 100 divisors (see below), whose sum is σ = 404747904. Its totient is φ = 43675200.

The previous prime is 135433279. The next prime is 135433303. The reversal of 135433296 is 692334531.

It is a happy number.

135433296 is a `hidden beast` number, since 135 + 433 + 2 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135433296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38491 + ... + 41861.

Almost surely, 2135433296 is an apocalyptic number.

135433296 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 135433296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202373952).

135433296 is an abundant number, since it is smaller than the sum of its proper divisors (269314608).

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

135433296 is a wasteful number, since it uses less digits than its factorization.

135433296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3407 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 135433296 is about 11637.5811919832. The cubic root of 135433296 is about 513.5410317486.

The spelling of 135433296 in words is "one hundred thirty-five million, four hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1116 1296 1488 1674 2232 2511 3348 3371 4464 5022 6696 6742 10044 10113 13392 13484 20088 20226 26968 30339 40176 40452 53936 60678 80904 91017 104501 121356 161808 182034 209002 242712 273051 313503 364068 418004 485424 546102 627006 728136 836008 940509 1092204 1254012 1456272 1672016 1881018 2184408 2508024 2821527 3762036 4368816 5016048 5643054 7524072 8464581 11286108 15048144 16929162 22572216 33858324 45144432 67716648 135433296