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76315240 = 2352965789
BaseRepresentation
bin1001000110001…
…11101001101000
312022121012211101
410203013221220
5124014041430
611323411144
71614445261
oct443075150
9168535741
1076315240
113a094851
1221683ab4
1312a70161
14a1c7968
156a76dca
hex48c7a68

76315240 has 32 divisors (see below), whose sum is σ = 177633000. Its totient is φ = 29473024.

The previous prime is 76315231. The next prime is 76315243. The reversal of 76315240 is 4251367.

76315240 = T75 + T76 + ... + T770.

It can be written as a sum of positive squares in 4 ways, for example, as 64931364 + 11383876 = 8058^2 + 3374^2 .

It is a super-3 number, since 3×763152403 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76315199 and 76315208.

It is not an unprimeable number, because it can be changed into a prime (76315243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31735 + ... + 34054.

Almost surely, 276315240 is an apocalyptic number.

It is an amenable number.

76315240 is an abundant number, since it is smaller than the sum of its proper divisors (101317760).

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

76315240 is a wasteful number, since it uses less digits than its factorization.

76315240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65829 (or 65825 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 76315240 is about 8735.8594311035. The cubic root of 76315240 is about 424.1672088816.

The spelling of 76315240 in words is "seventy-six million, three hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 65789 131578 263156 328945 526312 657890 1315780 1907881 2631560 3815762 7631524 9539405 15263048 19078810 38157620 76315240