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136560320 = 26513171931
BaseRepresentation
bin10000010001110…
…11111011000000
3100111221222112122
420020323323000
5234424412240
621314543412
73245513021
oct1010737300
9314858478
10136560320
11700a2876
1239897b68
13223a4830
14141cac48
15bec74b5
hex823bec0

136560320 has 112 divisors (see below), whose sum is σ = 370990368. Its totient is φ = 47431680.

The previous prime is 136560317. The next prime is 136560329. The reversal of 136560320 is 23065631.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 136560320.

It is not an unprimeable number, because it can be changed into a prime (136560329) 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, 69755 + ... + 71685.

It is an arithmetic number, because the mean of its divisors is an integer number (3312414).

Almost surely, 2136560320 is an apocalyptic number.

136560320 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 136560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185495184).

136560320 is an abundant number, since it is smaller than the sum of its proper divisors (234430048).

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

136560320 is a wasteful number, since it uses less digits than its factorization.

136560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 136560320 is about 11685.9026181121. The cubic root of 136560320 is about 514.9615957789.

The spelling of 136560320 in words is "one hundred thirty-six million, five hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 520 544 680 832 884 1040 1088 1105 1360 1768 1931 2080 2210 2720 3536 3862 4160 4420 5440 7072 7724 8840 9655 14144 15448 17680 19310 25103 30896 32827 35360 38620 50206 61792 65654 70720 77240 100412 123584 125515 131308 154480 164135 200824 251030 262616 308960 328270 401648 426751 502060 525232 617920 656540 803296 853502 1004120 1050464 1313080 1606592 1707004 2008240 2100928 2133755 2626160 3414008 4016480 4267510 5252320 6828016 8032960 8535020 10504640 13656032 17070040 27312064 34140080 68280160 136560320