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973740080 = 24512171751
BaseRepresentation
bin111010000010100…
…001100000110000
32111212021010021102
4322002201200300
53443234140310
6240342343532
733062440235
oct7202414060
92455233242
10973740080
1145a718375
1223212aba8
13126974681
149347378c
155a7458a5
hex3a0a1830

973740080 has 20 divisors (see below), whose sum is σ = 2263945872. Its totient is φ = 389496000.

The previous prime is 973740041. The next prime is 973740083. The reversal of 973740080 is 80047379.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (973740083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6085796 + ... + 6085955.

Almost surely, 2973740080 is an apocalyptic number.

It is an amenable number.

973740080 is an abundant number, since it is smaller than the sum of its proper divisors (1290205792).

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

973740080 is a wasteful number, since it uses less digits than its factorization.

973740080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12171764 (or 12171758 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 973740080 is about 31204.8086038034. The cubic root of 973740080 is about 991.1689351993.

The spelling of 973740080 in words is "nine hundred seventy-three million, seven hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12171751 24343502 48687004 60858755 97374008 121717510 194748016 243435020 486870040 973740080