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135643960 = 23553109587
BaseRepresentation
bin10000001010111…
…00001100111000
3100110020102112101
420011130030320
5234211101320
621243153144
73234645304
oct1005341470
9313212471
10135643960
116a627351
12395157b4
13221436ca
141402cd04
15bd95c0a
hex815c338

135643960 has 64 divisors (see below), whose sum is σ = 314344800. Its totient is φ = 52655616.

The previous prime is 135643951. The next prime is 135643967. The reversal of 135643960 is 69346531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135643967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 230787 + ... + 231373.

Almost surely, 2135643960 is an apocalyptic number.

135643960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135643960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157172400).

135643960 is an abundant number, since it is smaller than the sum of its proper divisors (178700840).

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

135643960 is a wasteful number, since it uses less digits than its factorization.

135643960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 135643960 is about 11646.6286967517. The cubic root of 135643960 is about 513.8071616848.

The spelling of 135643960 in words is "one hundred thirty-five million, six hundred forty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 106 109 212 218 265 424 436 530 545 587 872 1060 1090 1174 2120 2180 2348 2935 4360 4696 5777 5870 11554 11740 23108 23480 28885 31111 46216 57770 62222 63983 115540 124444 127966 155555 231080 248888 255932 311110 319915 511864 622220 639830 1244440 1279660 2559320 3391099 6782198 13564396 16955495 27128792 33910990 67821980 135643960