Search a number
-
+
135714656 = 2571155079
BaseRepresentation
bin10000001011011…
…01011101100000
3100110101000111202
420011231131200
5234220332111
621244500332
73235361360
oct1005553540
9313330452
10135714656
116a675480
123954a6a8
132216993c
141404a9a0
15bdabb3b
hex816d760

135714656 has 48 divisors (see below), whose sum is σ = 333123840. Its totient is φ = 52874880.

The previous prime is 135714647. The next prime is 135714659. The reversal of 135714656 is 656417531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135714659) 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, 25076 + ... + 30003.

It is an arithmetic number, because the mean of its divisors is an integer number (6940080).

Almost surely, 2135714656 is an apocalyptic number.

135714656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135714656 is an abundant number, since it is smaller than the sum of its proper divisors (197409184).

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

135714656 is a wasteful number, since it uses less digits than its factorization.

135714656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55107 (or 55099 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 135714656 is about 11649.6633427752. The cubic root of 135714656 is about 513.8964095519.

The spelling of 135714656 in words is "one hundred thirty-five million, seven hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 55079 110158 220316 385553 440632 605869 771106 881264 1211738 1542212 1762528 2423476 3084424 4241083 4846952 6168848 8482166 9693904 12337696 16964332 19387808 33928664 67857328 135714656