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136244080 = 24572231091
BaseRepresentation
bin10000001111011…
…10101101110000
3100111100220202001
420013232231300
5234334302310
621304103344
73243025030
oct1007565560
9314326661
10136244080
116a9a7215
1239764b54
13222c38cb
14141478c0
15be6393a
hex81eeb70

136244080 has 80 divisors (see below), whose sum is σ = 363976704. Its totient is φ = 46460160.

The previous prime is 136244077. The next prime is 136244083. The reversal of 136244080 is 80442631.

136244080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136244077) and next prime (136244083).

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136244083) 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, 124335 + ... + 125425.

Almost surely, 2136244080 is an apocalyptic number.

136244080 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 136244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

136244080 is an abundant number, since it is smaller than the sum of its proper divisors (227732624).

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

136244080 is a wasteful number, since it uses less digits than its factorization.

136244080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 136244080 is about 11672.3639422355. The cubic root of 136244080 is about 514.5637805498.

The spelling of 136244080 in words is "one hundred thirty-six million, two hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 223 280 446 560 892 1091 1115 1561 1784 2182 2230 3122 3568 4364 4460 5455 6244 7637 7805 8728 8920 10910 12488 15274 15610 17456 17840 21820 24976 30548 31220 38185 43640 61096 62440 76370 87280 122192 124880 152740 243293 305480 486586 610960 973172 1216465 1703051 1946344 2432930 3406102 3892688 4865860 6812204 8515255 9731720 13624408 17030510 19463440 27248816 34061020 68122040 136244080