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135935296 = 2672910463
BaseRepresentation
bin10000001101000…
…11010101000000
3100110210020011121
420012203111000
5234244412141
621253322024
73240300550
oct1006432500
9313706147
10135935296
116a806222
1239636314
13222161b3
14140a7160
15be021d1
hex81a3540

135935296 has 56 divisors (see below), whose sum is σ = 318942720. Its totient is φ = 56243712.

The previous prime is 135935287. The next prime is 135935297. The reversal of 135935296 is 692539531.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135935297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7761 + ... + 18223.

Almost surely, 2135935296 is an apocalyptic number.

135935296 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 135935296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159471360).

135935296 is an abundant number, since it is smaller than the sum of its proper divisors (183007424).

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

135935296 is a wasteful number, since it uses less digits than its factorization.

135935296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10511 (or 10501 counting only the distinct ones).

The product of its digits is 218700, while the sum is 43.

The square root of 135935296 is about 11659.1292985368. The cubic root of 135935296 is about 514.1747501926.

The spelling of 135935296 in words is "one hundred thirty-five million, nine hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 10463 12992 20926 41852 73241 83704 146482 167408 292964 303427 334816 585928 606854 669632 1171856 1213708 2123989 2343712 2427416 4247978 4687424 4854832 8495956 9709664 16991912 19419328 33983824 67967648 135935296