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76335140 = 2257277893
BaseRepresentation
bin1001000110011…
…00100000100100
312022122020010102
410203030200210
5124020211030
611324043232
71614560300
oct443144044
9168566112
1076335140
113a0a87a2
1221693518
1312a7922b
14a1d0d00
156a7cc45
hex48cc824

76335140 has 36 divisors (see below), whose sum is σ = 186478236. Its totient is φ = 26171712.

The previous prime is 76335139. The next prime is 76335173. The reversal of 76335140 is 4153367.

It can be written as a sum of positive squares in 2 ways, for example, as 46676224 + 29658916 = 6832^2 + 5446^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37967 + ... + 39926.

It is an arithmetic number, because the mean of its divisors is an integer number (5179951).

Almost surely, 276335140 is an apocalyptic number.

76335140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76335140 is an abundant number, since it is smaller than the sum of its proper divisors (110143096).

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

76335140 is a wasteful number, since it uses less digits than its factorization.

76335140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77916 (or 77907 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 76335140 is about 8736.9983403913. The cubic root of 76335140 is about 424.2040743617.

Adding to 76335140 its sum of digits (29), we get a square (76335169 = 87372).

The spelling of 76335140 in words is "seventy-six million, three hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 77893 155786 311572 389465 545251 778930 1090502 1557860 2181004 2726255 3816757 5452510 7633514 10905020 15267028 19083785 38167570 76335140