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135802464 = 2537202087
BaseRepresentation
bin10000001100000…
…10111001100000
3100110112110221220
420012002321200
5234231134324
621250415040
73236205360
oct1006027140
9313473856
10135802464
116a725446
1239591480
132219a8b5
14140709a0
15bdc7b79
hex8182e60

135802464 has 48 divisors (see below), whose sum is σ = 407409408. Its totient is φ = 38800512.

The previous prime is 135802453. The next prime is 135802487. The reversal of 135802464 is 464208531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100372 + ... + 101715.

It is an arithmetic number, because the mean of its divisors is an integer number (8487696).

Almost surely, 2135802464 is an apocalyptic number.

135802464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135802464 is an abundant number, since it is smaller than the sum of its proper divisors (271606944).

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

135802464 is a wasteful number, since it uses less digits than its factorization.

135802464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202107 (or 202099 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 135802464 is about 11653.4314259792. The cubic root of 135802464 is about 514.0072167629.

The spelling of 135802464 in words is "one hundred thirty-five million, eight hundred two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 202087 404174 606261 808348 1212522 1414609 1616696 2425044 2829218 3233392 4243827 4850088 5658436 6466784 8487654 9700176 11316872 16975308 19400352 22633744 33950616 45267488 67901232 135802464