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75968220 = 22358271531
BaseRepresentation
bin1001000011100…
…10111011011100
312021221120210210
410201302323130
5123421440340
611312132420
71611501456
oct441627334
9167846723
1075968220
1139978059
1221537110
131297b213
14a1372d6
156a09180
hex4872edc

75968220 has 48 divisors (see below), whose sum is σ = 213107328. Its totient is φ = 20220480.

The previous prime is 75968219. The next prime is 75968267. The reversal of 75968220 is 2286957.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48855 + ... + 50385.

It is an arithmetic number, because the mean of its divisors is an integer number (4439736).

Almost surely, 275968220 is an apocalyptic number.

It is an amenable number.

75968220 is an abundant number, since it is smaller than the sum of its proper divisors (137139108).

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

75968220 is a wasteful number, since it uses less digits than its factorization.

75968220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 75968220 is about 8715.9749884910. The cubic root of 75968220 is about 423.5233087583.

The spelling of 75968220 in words is "seventy-five million, nine hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 827 1531 1654 2481 3062 3308 4135 4593 4962 6124 7655 8270 9186 9924 12405 15310 16540 18372 22965 24810 30620 45930 49620 91860 1266137 2532274 3798411 5064548 6330685 7596822 12661370 15193644 18992055 25322740 37984110 75968220