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68080992 = 2537241353
BaseRepresentation
bin1000000111011…
…01010101100000
311202002212120020
410003231111200
5114412042432
610431113440
71454451600
oct403552540
9152085506
1068080992
1135480291
121a972880
1311149215
149082c00
155e9c22c
hex40ed560

68080992 has 144 divisors (see below), whose sum is σ = 213563952. Its totient is φ = 18923520.

The previous prime is 68080981. The next prime is 68080993. The reversal of 68080992 is 29908086.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68080993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192688 + ... + 193040.

It is an arithmetic number, because the mean of its divisors is an integer number (1483083).

Almost surely, 268080992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68080992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106781976).

68080992 is an abundant number, since it is smaller than the sum of its proper divisors (145482960).

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

68080992 is a wasteful number, since it uses less digits than its factorization.

68080992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 68080992 is about 8251.1206511601. The cubic root of 68080992 is about 408.3274956082.

The spelling of 68080992 in words is "sixty-eight million, eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 82 84 96 98 112 123 147 164 168 196 224 246 287 294 328 336 353 392 492 574 588 656 672 706 784 861 984 1059 1148 1176 1312 1412 1568 1722 1968 2009 2118 2296 2352 2471 2824 3444 3936 4018 4236 4592 4704 4942 5648 6027 6888 7413 8036 8472 9184 9884 11296 12054 13776 14473 14826 16072 16944 17297 19768 24108 27552 28946 29652 32144 33888 34594 39536 43419 48216 51891 57892 59304 64288 69188 79072 86838 96432 101311 103782 115784 118608 138376 173676 192864 202622 207564 231568 237216 276752 303933 347352 405244 415128 463136 553504 607866 694704 709177 810488 830256 1215732 1389408 1418354 1620976 1660512 2127531 2431464 2836708 3241952 4255062 4862928 5673416 8510124 9725856 11346832 17020248 22693664 34040496 68080992