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76541040 = 24325106307
BaseRepresentation
bin1001000111111…
…10110001110000
312100000200120100
410203332301300
5124043303130
611332312400
71616405502
oct443766160
9170020510
1076541040
113a229464
1221772700
1312b1bb74
14a245d72
156abdc60
hex48fec70

76541040 has 60 divisors (see below), whose sum is σ = 257052744. Its totient is φ = 20410752.

The previous prime is 76541039. The next prime is 76541057. The reversal of 76541040 is 4014567.

76541040 is a `hidden beast` number, since 7 + 654 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 76540995 and 76541013.

It is a congruent number.

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, 52434 + ... + 53873.

Almost surely, 276541040 is an apocalyptic number.

It is an amenable number.

76541040 is an abundant number, since it is smaller than the sum of its proper divisors (180511704).

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

76541040 is a wasteful number, since it uses less digits than its factorization.

76541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106326 (or 106317 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 76541040 is about 8748.7736283436. The cubic root of 76541040 is about 424.5851361080.

The spelling of 76541040 in words is "seventy-six million, five hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 106307 212614 318921 425228 531535 637842 850456 956763 1063070 1275684 1594605 1700912 1913526 2126140 2551368 3189210 3827052 4252280 4783815 5102736 6378420 7654104 8504560 9567630 12756840 15308208 19135260 25513680 38270520 76541040