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76512940 = 22572771973
BaseRepresentation
bin1001000111101…
…11111010101100
312022222021000121
410203313322230
5124041403230
611331534324
71616230540
oct443677254
9168867017
1076512940
113a20a339
122175a3a4
1312b0c13a
14a239a20
156ab577a
hex48f7eac

76512940 has 48 divisors (see below), whose sum is σ = 184387392. Its totient is φ = 26125056.

The previous prime is 76512923. The next prime is 76512941. The reversal of 76512940 is 4921567.

It is a junction number, because it is equal to n+sod(n) for n = 76512896 and 76512905.

It is not an unprimeable number, because it can be changed into a prime (76512941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37794 + ... + 39766.

It is an arithmetic number, because the mean of its divisors is an integer number (3841404).

Almost surely, 276512940 is an apocalyptic number.

76512940 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76512940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92193696).

76512940 is an abundant number, since it is smaller than the sum of its proper divisors (107874452).

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

76512940 is a wasteful number, since it uses less digits than its factorization.

76512940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 76512940 is about 8747.1675415531. The cubic root of 76512940 is about 424.5331713814.

The spelling of 76512940 in words is "seventy-six million, five hundred twelve thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 277 554 1108 1385 1939 1973 2770 3878 3946 5540 7756 7892 9695 9865 13811 19390 19730 27622 38780 39460 55244 69055 138110 276220 546521 1093042 2186084 2732605 3825647 5465210 7651294 10930420 15302588 19128235 38256470 76512940