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136450560 = 2935109163
BaseRepresentation
bin10000010001000…
…01001000000000
3100111202101222110
420020201020000
5234412404220
621312335320
73244545021
oct1010411000
9314671873
10136450560
1170028364
1239844540
132236689c
141419cc48
15bea4be0
hex8221200

136450560 has 160 divisors (see below), whose sum is σ = 442918080. Its totient is φ = 35831808.

The previous prime is 136450553. The next prime is 136450577. The reversal of 136450560 is 65054631.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837039 + ... + 837201.

It is an arithmetic number, because the mean of its divisors is an integer number (2768238).

Almost surely, 2136450560 is an apocalyptic number.

136450560 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 136450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221459040).

136450560 is an abundant number, since it is smaller than the sum of its proper divisors (306467520).

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

136450560 is a wasteful number, since it uses less digits than its factorization.

136450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 136450560 is about 11681.2054172504. The cubic root of 136450560 is about 514.8235924538.

The spelling of 136450560 in words is "one hundred thirty-six million, four hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 160 163 192 218 240 256 320 326 327 384 436 480 489 512 545 640 652 654 768 815 872 960 978 1090 1280 1304 1308 1536 1630 1635 1744 1920 1956 2180 2445 2560 2608 2616 3260 3270 3488 3840 3912 4360 4890 5216 5232 6520 6540 6976 7680 7824 8720 9780 10432 10464 13040 13080 13952 15648 17440 17767 19560 20864 20928 26080 26160 27904 31296 34880 35534 39120 41728 41856 52160 52320 53301 55808 62592 69760 71068 78240 83456 83712 88835 104320 104640 106602 125184 139520 142136 156480 167424 177670 208640 209280 213204 250368 266505 279040 284272 312960 355340 417280 418560 426408 533010 568544 625920 710680 837120 852816 1066020 1137088 1251840 1421360 1705632 2132040 2274176 2842720 3411264 4264080 4548352 5685440 6822528 8528160 9096704 11370880 13645056 17056320 22741760 27290112 34112640 45483520 68225280 136450560