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76327040 = 275239499
BaseRepresentation
bin1001000110010…
…10100010000000
312022121211000102
410203022202000
5124014431130
611323541532
71614524546
oct443124200
9168554012
1076327040
113a0a26a9
122168a8a8
1312a7563a
14a1cbd96
156a7a645
hex48ca880

76327040 has 64 divisors (see below), whose sum is σ = 183600000. Its totient is φ = 30342144.

The previous prime is 76327039. The next prime is 76327063. The reversal of 76327040 is 4072367.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 76326994 and 76327012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152711 + ... + 153209.

It is an arithmetic number, because the mean of its divisors is an integer number (2868750).

Almost surely, 276327040 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 76327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800000).

76327040 is an abundant number, since it is smaller than the sum of its proper divisors (107272960).

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

76327040 is a wasteful number, since it uses less digits than its factorization.

76327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 76327040 is about 8736.5347821662. The cubic root of 76327040 is about 424.1890695878.

The spelling of 76327040 in words is "seventy-six million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 320 478 499 640 956 998 1195 1912 1996 2390 2495 3824 3992 4780 4990 7648 7984 9560 9980 15296 15968 19120 19960 30592 31936 38240 39920 63872 76480 79840 119261 152960 159680 238522 319360 477044 596305 954088 1192610 1908176 2385220 3816352 4770440 7632704 9540880 15265408 19081760 38163520 76327040