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135117240 = 23354092753
BaseRepresentation
bin10000000110110…
…11100110111000
3100102020200000020
420003123212320
5234042222430
621224010440
73230322546
oct1003334670
9312220006
10135117240
116a2a7645
1239300a20
1321cbaa3b
1413d32d96
15bcdeb10
hex80db9b8

135117240 has 64 divisors (see below), whose sum is σ = 406490400. Its totient is φ = 35930112.

The previous prime is 135117221. The next prime is 135117253. The reversal of 135117240 is 42711531.

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 135117240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47704 + ... + 50456.

Almost surely, 2135117240 is an apocalyptic number.

135117240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135117240 is an abundant number, since it is smaller than the sum of its proper divisors (271373160).

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

135117240 is a wasteful number, since it uses less digits than its factorization.

135117240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 135117240 is about 11623.9941500329. The cubic root of 135117240 is about 513.1412429463.

Adding to 135117240 its reverse (42711531), we get a palindrome (177828771).

The spelling of 135117240 in words is "one hundred thirty-five million, one hundred seventeen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 409 818 1227 1636 2045 2454 2753 3272 4090 4908 5506 6135 8180 8259 9816 11012 12270 13765 16360 16518 22024 24540 27530 33036 41295 49080 55060 66072 82590 110120 165180 330360 1125977 2251954 3377931 4503908 5629885 6755862 9007816 11259770 13511724 16889655 22519540 27023448 33779310 45039080 67558620 135117240