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76305380 = 22529131561
BaseRepresentation
bin1001000110001…
…01001111100100
312022120201022012
410203011033210
5124013233010
611323253352
71614404444
oct443051744
9168521265
1076305380
113a0883a8
122167a258
1312a68818
14a1c4124
156a74005
hex48c53e4

76305380 has 24 divisors (see below), whose sum is σ = 165768120. Its totient is φ = 29469440.

The previous prime is 76305377. The next prime is 76305391. The reversal of 76305380 is 8350367.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11792356 + 64513024 = 3434^2 + 8032^2 .

It is a super-2 number, since 2×763053802 = 11645022033888800, which contains 22 as substring.

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, 65201 + ... + 66360.

It is an arithmetic number, because the mean of its divisors is an integer number (6907005).

Almost surely, 276305380 is an apocalyptic number.

It is an amenable number.

76305380 is an abundant number, since it is smaller than the sum of its proper divisors (89462740).

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

76305380 is a wasteful number, since it uses less digits than its factorization.

76305380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131599 (or 131597 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 76305380 is about 8735.2950722915. The cubic root of 76305380 is about 424.1489404955.

The spelling of 76305380 in words is "seventy-six million, three hundred five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 131561 263122 526244 657805 1315610 2631220 3815269 7630538 15261076 19076345 38152690 76305380