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135669408 = 2537201889
BaseRepresentation
bin10000001011000…
…10011010100000
3100110021201102220
420011202122200
5234212410113
621243511040
73235112430
oct1005423240
9313251386
10135669408
116a644486
1239528480
1322152174
14140382c0
15bd9d523
hex81626a0

135669408 has 48 divisors (see below), whose sum is σ = 407010240. Its totient is φ = 38762496.

The previous prime is 135669403. The next prime is 135669449. The reversal of 135669408 is 804966531.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 135669408.

It is not an unprimeable number, because it can be changed into a prime (135669403) 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, 100273 + ... + 101616.

It is an arithmetic number, because the mean of its divisors is an integer number (8479380).

Almost surely, 2135669408 is an apocalyptic number.

It is an amenable number.

135669408 is an abundant number, since it is smaller than the sum of its proper divisors (271340832).

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

135669408 is a wasteful number, since it uses less digits than its factorization.

135669408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201909 (or 201901 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 135669408 is about 11647.7211505084. The cubic root of 135669408 is about 513.8392912566.

The spelling of 135669408 in words is "one hundred thirty-five million, six hundred sixty-nine thousand, four hundred eight".

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 201889 403778 605667 807556 1211334 1413223 1615112 2422668 2826446 3230224 4239669 4845336 5652892 6460448 8479338 9690672 11305784 16958676 19381344 22611568 33917352 45223136 67834704 135669408