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136253260 = 225112136171
BaseRepresentation
bin10000001111100…
…00111101001100
3100111101101100001
420013300331030
5234340101020
621304214044
73243063553
oct1007607514
9314341301
10136253260
116aa03100
123976a324
13222c7b40
141414ad9a
15be6650a
hex81f0f4c

136253260 has 144 divisors (see below), whose sum is σ = 349102656. Its totient is φ = 44352000.

The previous prime is 136253251. The next prime is 136253267. The reversal of 136253260 is 62352631.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (136253267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1919025 + ... + 1919095.

It is an arithmetic number, because the mean of its divisors is an integer number (2424324).

Almost surely, 2136253260 is an apocalyptic number.

136253260 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 136253260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174551328).

136253260 is an abundant number, since it is smaller than the sum of its proper divisors (212849396).

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

136253260 is a wasteful number, since it uses less digits than its factorization.

136253260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 136253260 is about 11672.7571721509. The cubic root of 136253260 is about 514.5753372340.

The spelling of 136253260 in words is "one hundred thirty-six million, two hundred fifty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 61 65 71 110 121 122 130 142 143 220 242 244 260 284 286 305 355 484 572 605 610 671 710 715 781 793 923 1210 1220 1342 1420 1430 1562 1573 1586 1846 2420 2684 2860 3124 3146 3172 3355 3692 3905 3965 4331 4615 6292 6710 7381 7810 7865 7930 8591 8662 8723 9230 10153 13420 14762 15620 15730 15860 17182 17324 17446 18460 20306 21655 29524 31460 34364 34892 36905 40612 42955 43310 43615 47641 50765 56303 73810 85910 86620 87230 95282 95953 101530 111683 112606 147620 171820 174460 190564 191906 203060 223366 225212 238205 281515 383812 446732 476410 479765 524051 558415 563030 619333 952820 959530 1048102 1116830 1126060 1238666 1919060 2096204 2233660 2477332 2620255 3096665 5240510 6193330 6812663 10481020 12386660 13625326 27250652 34063315 68126630 136253260