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73980960 = 2535154127
BaseRepresentation
bin1000110100011…
…01110000100000
312011012121210120
410122031300200
5122414342320
611201400240
71555553634
oct432156040
9164177716
1073980960
113883aa99
1220939080
1312433821
149b7adc4
156765440
hex468dc20

73980960 has 48 divisors (see below), whose sum is σ = 233041536. Its totient is φ = 19728128.

The previous prime is 73980947. The next prime is 73980967. The reversal of 73980960 is 6908937.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (73980967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76584 + ... + 77543.

It is an arithmetic number, because the mean of its divisors is an integer number (4855032).

Almost surely, 273980960 is an apocalyptic number.

It is an amenable number.

73980960 is an abundant number, since it is smaller than the sum of its proper divisors (159060576).

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

73980960 is a wasteful number, since it uses less digits than its factorization.

73980960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154145 (or 154137 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 73980960 is about 8601.2185183263. The cubic root of 73980960 is about 419.7976349381.

The spelling of 73980960 in words is "seventy-three million, nine hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 154127 308254 462381 616508 770635 924762 1233016 1541270 1849524 2311905 2466032 3082540 3699048 4623810 4932064 6165080 7398096 9247620 12330160 14796192 18495240 24660320 36990480 73980960