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76596980 = 2251921032
BaseRepresentation
bin1001001000011…
…00011011110100
312100010112022012
410210030123310
5124102100410
611333423352
71620030545
oct444143364
9170115265
1076596980
113a267499
122179ab58
1312b3b475
14a25c4cc
156ad0605
hex490c6f4

76596980 has 54 divisors (see below), whose sum is σ = 171429426. Its totient is φ = 28744416.

The previous prime is 76596959. The next prime is 76596997. The reversal of 76596980 is 8969567.

It can be written as a sum of positive squares in only one way, i.e., 61277584 + 15319396 = 7828^2 + 3914^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 743609 + ... + 743711.

It is an arithmetic number, because the mean of its divisors is an integer number (3174619).

Almost surely, 276596980 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 76596980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85714713).

76596980 is an abundant number, since it is smaller than the sum of its proper divisors (94832446).

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

76596980 is a wasteful number, since it uses less digits than its factorization.

76596980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 76596980 is about 8751.9700639342. The cubic root of 76596980 is about 424.6885468998.

The spelling of 76596980 in words is "seventy-six million, five hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 361 380 412 515 722 1030 1444 1805 1957 2060 3610 3914 7220 7828 9785 10609 19570 21218 37183 39140 42436 53045 74366 106090 148732 185915 201571 212180 371830 403142 743660 806284 1007855 2015710 3829849 4031420 7659698 15319396 19149245 38298490 76596980