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68780376 = 23327239571
BaseRepresentation
bin1000001100110…
…00000101011000
311210102101221100
410012120011120
5120101433001
610454111400
71463423610
oct406300530
9153371840
1068780376
1135908795
121b04b560
1311332662
1491c5a40
156089586
hex4198158

68780376 has 96 divisors (see below), whose sum is σ = 214156800. Its totient is φ = 19535040.

The previous prime is 68780333. The next prime is 68780377. The reversal of 68780376 is 67308786.

68780376 = 4132 + 4142 + ... + 6512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68780377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120171 + ... + 120741.

It is an arithmetic number, because the mean of its divisors is an integer number (2230800).

Almost surely, 268780376 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 68780376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107078400).

68780376 is an abundant number, since it is smaller than the sum of its proper divisors (145376424).

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

68780376 is a wasteful number, since it uses less digits than its factorization.

68780376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 822 counting only the distinct ones).

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

The square root of 68780376 is about 8293.3935153229. The cubic root of 68780376 is about 409.7209602419.

The spelling of 68780376 in words is "sixty-eight million, seven hundred eighty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 239 252 478 504 571 717 956 1142 1434 1673 1713 1912 2151 2284 2868 3346 3426 3997 4302 4568 5019 5139 5736 6692 6852 7994 8604 10038 10278 11991 13384 13704 15057 15988 17208 20076 20556 23982 30114 31976 35973 40152 41112 47964 60228 71946 95928 120456 136469 143892 272938 287784 409407 545876 818814 955283 1091752 1228221 1637628 1910566 2456442 2865849 3275256 3821132 4912884 5731698 7642264 8597547 9825768 11463396 17195094 22926792 34390188 68780376