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135252240 = 2435563551
BaseRepresentation
bin10000000111111…
…00100100010000
3100102111112012020
420003330210100
5234111032430
621230531440
73231424254
oct1003744420
9312445166
10135252240
116a38a012
1239366b80
1322037316
1413d6a264
15bd19b10
hex80fc910

135252240 has 40 divisors (see below), whose sum is σ = 419282688. Its totient is φ = 36067200.

The previous prime is 135252233. The next prime is 135252263. The reversal of 135252240 is 42252531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135252240.

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, 281536 + ... + 282015.

Almost surely, 2135252240 is an apocalyptic number.

135252240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135252240 is an abundant number, since it is smaller than the sum of its proper divisors (284030448).

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

135252240 is a wasteful number, since it uses less digits than its factorization.

135252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563567 (or 563561 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 135252240 is about 11629.7996543363. The cubic root of 135252240 is about 513.3120847261.

The spelling of 135252240 in words is "one hundred thirty-five million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 563551 1127102 1690653 2254204 2817755 3381306 4508408 5635510 6762612 8453265 9016816 11271020 13525224 16906530 22542040 27050448 33813060 45084080 67626120 135252240