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76013980 = 2257577941
BaseRepresentation
bin1001000011111…
…10000110011100
312022000220120121
410201332012130
5123424421410
611313124324
71612052050
oct441760634
9168026517
1076013980
11399a9479
12215596a4
1312995cb3
14a149c60
156a179da
hex487e19c

76013980 has 48 divisors (see below), whose sum is σ = 182943936. Its totient is φ = 25989120.

The previous prime is 76013963. The next prime is 76013983. The reversal of 76013980 is 8931067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76013983) 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 15 ways as a sum of consecutive naturals, for example, 80310 + ... + 81250.

It is an arithmetic number, because the mean of its divisors is an integer number (3811332).

Almost surely, 276013980 is an apocalyptic number.

76013980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76013980 is an abundant number, since it is smaller than the sum of its proper divisors (106929956).

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

76013980 is a wasteful number, since it uses less digits than its factorization.

76013980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 76013980 is about 8718.5996582020. The cubic root of 76013980 is about 423.6083291199.

The spelling of 76013980 in words is "seventy-six million, thirteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 577 941 1154 1882 2308 2885 3764 4039 4705 5770 6587 8078 9410 11540 13174 16156 18820 20195 26348 32935 40390 65870 80780 131740 542957 1085914 2171828 2714785 3800699 5429570 7601398 10859140 15202796 19003495 38006990 76013980