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74090960 = 2457611217
BaseRepresentation
bin1000110101010…
…00100111010000
312011102012200122
410122220213100
5122431402320
611204005412
71556522426
oct432504720
9164365618
1074090960
11389056a9
1220990868
1312471908
149ba9116
156787d25
hex46a89d0

74090960 has 40 divisors (see below), whose sum is σ = 172629576. Its totient is φ = 29573120.

The previous prime is 74090959. The next prime is 74090993. The reversal of 74090960 is 6909047.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1227664 + 72863296 = 1108^2 + 8536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 74090960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60272 + ... + 61488.

Almost surely, 274090960 is an apocalyptic number.

It is an amenable number.

74090960 is an abundant number, since it is smaller than the sum of its proper divisors (98538616).

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

74090960 is a wasteful number, since it uses less digits than its factorization.

74090960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 74090960 is about 8607.6105859873. The cubic root of 74090960 is about 420.0055932740.

The spelling of 74090960 in words is "seventy-four million, ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 761 1217 1522 2434 3044 3805 4868 6085 6088 7610 9736 12170 12176 15220 19472 24340 30440 48680 60880 97360 926137 1852274 3704548 4630685 7409096 9261370 14818192 18522740 37045480 74090960