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136045260 = 2232513471237
BaseRepresentation
bin10000001101111…
…10001011001100
3100110222211000100
420012332023030
5234311422020
621255531100
73241236261
oct1006761314
9313884010
10136045260
116a8808aa
1239689a90
1322254270
14140d5268
15be24a90
hex81be2cc

136045260 has 144 divisors (see below), whose sum is σ = 454237056. Its totient is φ = 32749056.

The previous prime is 136045243. The next prime is 136045291. The reversal of 136045260 is 62540631.

136045260 is a `hidden beast` number, since 1 + 3 + 604 + 52 + 6 + 0 = 666.

It is a super-3 number, since 3×1360452603 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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, 109362 + ... + 110598.

It is an arithmetic number, because the mean of its divisors is an integer number (3154424).

Almost surely, 2136045260 is an apocalyptic number.

136045260 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 136045260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227118528).

136045260 is an abundant number, since it is smaller than the sum of its proper divisors (318191796).

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

136045260 is a wasteful number, since it uses less digits than its factorization.

136045260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 136045260 is about 11663.8441347611. The cubic root of 136045260 is about 514.3133589637.

Adding to 136045260 its reverse (62540631), we get a palindrome (198585891).

The spelling of 136045260 in words is "one hundred thirty-six million, forty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 47 52 60 65 78 90 94 117 130 141 156 180 188 195 234 235 260 282 390 423 468 470 564 585 611 705 780 846 940 1170 1222 1237 1410 1692 1833 2115 2340 2444 2474 2820 3055 3666 3711 4230 4948 5499 6110 6185 7332 7422 8460 9165 10998 11133 12220 12370 14844 16081 18330 18555 21996 22266 24740 27495 32162 36660 37110 44532 48243 54990 55665 58139 64324 74220 80405 96486 109980 111330 116278 144729 160810 174417 192972 222660 232556 241215 289458 290695 321620 348834 482430 523251 578916 581390 697668 723645 755807 872085 964860 1046502 1162780 1447290 1511614 1744170 2093004 2267421 2616255 2894580 3023228 3488340 3779035 4534842 5232510 6802263 7558070 9069684 10465020 11337105 13604526 15116140 22674210 27209052 34011315 45348420 68022630 136045260