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68146260 = 223572131783
BaseRepresentation
bin1000000111111…
…01010001010100
311202020012002120
410003331101110
5114421140020
610432335540
71455143100
oct403752124
9152205076
1068146260
1135515326
121a9a45b0
131116cb40
14909c900
155eb1740
hex40fd454

68146260 has 144 divisors (see below), whose sum is σ = 239170176. Its totient is φ = 14370048.

The previous prime is 68146229. The next prime is 68146261. The reversal of 68146260 is 6264186.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68146261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37329 + ... + 39111.

It is an arithmetic number, because the mean of its divisors is an integer number (1660904).

Almost surely, 268146260 is an apocalyptic number.

68146260 is a gapful number since it is divisible by the number (60) 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 68146260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119585088).

68146260 is an abundant number, since it is smaller than the sum of its proper divisors (171023916).

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

68146260 is a wasteful number, since it uses less digits than its factorization.

68146260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 68146260 is about 8255.0748028107. The cubic root of 68146260 is about 408.4579392960.

The spelling of 68146260 in words is "sixty-eight million, one hundred forty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1783 1820 1911 2548 2730 2940 3185 3566 3822 5349 5460 6370 7132 7644 8915 9555 10698 12481 12740 17830 19110 21396 23179 24962 26745 35660 37443 38220 46358 49924 53490 62405 69537 74886 87367 92716 106980 115895 124810 139074 149772 162253 174734 187215 231790 249620 262101 278148 324506 347685 349468 374430 436835 463580 486759 524202 649012 695370 748860 811265 873670 973518 1048404 1135771 1310505 1390740 1622530 1747340 1947036 2271542 2433795 2621010 3245060 3407313 4543084 4867590 5242020 5678855 6814626 9735180 11357710 13629252 17036565 22715420 34073130 68146260