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135692496 = 2434104701
BaseRepresentation
bin10000001011010…
…00000011010000
3100110022220010000
420011220003100
5234214124441
621244210000
73235236642
oct1005500320
9313286100
10135692496
116a65a865
1239539900
132215c824
1414042892
15bda52b6
hex81680d0

135692496 has 50 divisors (see below), whose sum is σ = 392737202. Its totient is φ = 45230400.

The previous prime is 135692449. The next prime is 135692497. The reversal of 135692496 is 694296531.

It can be written as a sum of positive squares in only one way, i.e., 128595600 + 7096896 = 11340^2 + 2664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135692497) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 51055 + ... + 53646.

Almost surely, 2135692496 is an apocalyptic number.

135692496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135692496 is an abundant number, since it is smaller than the sum of its proper divisors (257044706).

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

135692496 is a wasteful number, since it uses less digits than its factorization.

135692496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104721 (or 104706 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 135692496 is about 11648.7122035013. The cubic root of 135692496 is about 513.8684377159.

The spelling of 135692496 in words is "one hundred thirty-five million, six hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 104701 209402 314103 418804 628206 837608 942309 1256412 1675216 1884618 2512824 2826927 3769236 5025648 5653854 7538472 8480781 11307708 15076944 16961562 22615416 33923124 45230832 67846248 135692496