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973066140 = 223255405923
BaseRepresentation
bin111001111111111…
…100111110011100
32111210222212210200
4321333330332130
53443101104030
6240320103500
733053632344
oct7177747634
92453885720
10973066140
1145a2a7aa2
12231a64b90
131267999a7
1493339d24
155a660d60
hex39ffcf9c

973066140 has 36 divisors (see below), whose sum is σ = 2951634504. Its totient is φ = 259484256.

The previous prime is 973066123. The next prime is 973066151. The reversal of 973066140 is 41660379.

973066140 is a `hidden beast` number, since 9 + 7 + 30 + 6 + 614 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 973066095 and 973066104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2702782 + ... + 2703141.

Almost surely, 2973066140 is an apocalyptic number.

973066140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

973066140 is an abundant number, since it is smaller than the sum of its proper divisors (1978568364).

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

973066140 is a wasteful number, since it uses less digits than its factorization.

973066140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405938 (or 5405933 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 973066140 is about 31194.0080784756. The cubic root of 973066140 is about 990.9402148343.

The spelling of 973066140 in words is "nine hundred seventy-three million, sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5405923 10811846 16217769 21623692 27029615 32435538 48653307 54059230 64871076 81088845 97306614 108118460 162177690 194613228 243266535 324355380 486533070 973066140