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136502960 = 24511181857
BaseRepresentation
bin10000010001011…
…01111010110000
3100111212001212012
420020231322300
5234421043320
621313422052
73245153546
oct1010557260
9314761765
10136502960
1170063770
123986a928
13223846a9
14141b3d96
15beb54c5
hex822deb0

136502960 has 80 divisors (see below), whose sum is σ = 348540192. Its totient is φ = 49305600.

The previous prime is 136502939. The next prime is 136502963. The reversal of 136502960 is 69205631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136502963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158852 + ... + 159708.

Almost surely, 2136502960 is an apocalyptic number.

136502960 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 136502960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174270096).

136502960 is an abundant number, since it is smaller than the sum of its proper divisors (212037232).

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

136502960 is a wasteful number, since it uses less digits than its factorization.

136502960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 136502960 is about 11683.4481211670. The cubic root of 136502960 is about 514.8894851937.

The spelling of 136502960 in words is "one hundred thirty-six million, five hundred two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 181 220 362 440 724 857 880 905 1448 1714 1810 1991 2896 3428 3620 3982 4285 6856 7240 7964 8570 9427 9955 13712 14480 15928 17140 18854 19910 31856 34280 37708 39820 47135 68560 75416 79640 94270 150832 155117 159280 188540 310234 377080 620468 754160 775585 1240936 1551170 1706287 2481872 3102340 3412574 6204680 6825148 8531435 12409360 13650296 17062870 27300592 34125740 68251480 136502960