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76822060 = 2257975657
BaseRepresentation
bin1001001010000…
…11011000101100
312100112222001111
410211003120230
5124131301220
611342321404
71621656010
oct445033054
9170488044
1076822060
113a400607
1221889264
1312bb9a53
14a2ba540
156b2715a
hex494362c

76822060 has 48 divisors (see below), whose sum is σ = 186306624. Its totient is φ = 26062848.

The previous prime is 76822013. The next prime is 76822079. The reversal of 76822060 is 6022867.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10752 + ... + 16408.

It is an arithmetic number, because the mean of its divisors is an integer number (3881388).

Almost surely, 276822060 is an apocalyptic number.

76822060 is a gapful number since it is divisible by the number (70) 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 76822060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93153312).

76822060 is an abundant number, since it is smaller than the sum of its proper divisors (109484564).

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

76822060 is a wasteful number, since it uses less digits than its factorization.

76822060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 76822060 is about 8764.8194505078. The cubic root of 76822060 is about 425.1041221242.

The spelling of 76822060 in words is "seventy-six million, eight hundred twenty-two thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3395 5657 6790 11314 13580 22628 28285 39599 56570 79198 113140 158396 197995 395990 548729 791980 1097458 2194916 2743645 3841103 5487290 7682206 10974580 15364412 19205515 38411030 76822060