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135862240 = 2557191181
BaseRepresentation
bin10000001100100…
…01011111100000
3100110122111221211
420012101133200
5234240042430
621251555504
73236544553
oct1006213740
9313574854
10135862240
116a766348
12395bbb94
13221bbb77
141408869a
15bdda72a
hex81917e0

135862240 has 48 divisors (see below), whose sum is σ = 321693120. Its totient is φ = 54223360.

The previous prime is 135862211. The next prime is 135862277. The reversal of 135862240 is 42268531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114450 + ... + 115630.

It is an arithmetic number, because the mean of its divisors is an integer number (6701940).

Almost surely, 2135862240 is an apocalyptic number.

135862240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135862240 is an abundant number, since it is smaller than the sum of its proper divisors (185830880).

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

135862240 is a wasteful number, since it uses less digits than its factorization.

135862240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 135862240 is about 11655.9958819485. The cubic root of 135862240 is about 514.0826223373.

The spelling of 135862240 in words is "one hundred thirty-five million, eight hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 719 1181 1438 2362 2876 3595 4724 5752 5905 7190 9448 11504 11810 14380 18896 23008 23620 28760 37792 47240 57520 94480 115040 188960 849139 1698278 3396556 4245695 6793112 8491390 13586224 16982780 27172448 33965560 67931120 135862240