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68776380 = 223251812111
BaseRepresentation
bin1000001100101…
…11000110111100
311210102012110100
410012113012330
5120101321010
610454041100
71463406141
oct406270674
9153365410
1068776380
1135905792
121b049190
13113308aa
1491c43c8
1560882c0
hex41971bc

68776380 has 72 divisors (see below), whose sum is σ = 209873664. Its totient is φ = 18230400.

The previous prime is 68776363. The next prime is 68776387. The reversal of 68776380 is 8367786.

68776380 is a `hidden beast` number, since 6 + 8 + 7 + 7 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68776387) 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 23 ways as a sum of consecutive naturals, for example, 31525 + ... + 33635.

It is an arithmetic number, because the mean of its divisors is an integer number (2914912).

Almost surely, 268776380 is an apocalyptic number.

68776380 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 68776380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104936832).

68776380 is an abundant number, since it is smaller than the sum of its proper divisors (141097284).

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

68776380 is a wasteful number, since it uses less digits than its factorization.

68776380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 68776380 is about 8293.1525971732. The cubic root of 68776380 is about 409.7130254367.

The spelling of 68776380 in words is "sixty-eight million, seven hundred seventy-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2111 2172 2715 3258 3620 4222 5430 6333 6516 8145 8444 10555 10860 12666 16290 18999 21110 25332 31665 32580 37998 42220 63330 75996 94995 126660 189990 379980 382091 764182 1146273 1528364 1910455 2292546 3438819 3820910 4585092 5731365 6877638 7641820 11462730 13755276 17194095 22925460 34388190 68776380