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992866140 = 2233573137229
BaseRepresentation
bin111011001011011…
…110111101011100
32120012020211022000
4323023132331130
54013133204030
6242304322300
733414136320
oct7313367534
92505224260
10992866140
1146a4a1032
12238613390
1312a910076
1495c11980
155c272860
hex3b2def5c

992866140 has 384 divisors, whose sum is σ = 3758899200. Its totient is φ = 212751360.

The previous prime is 992866129. The next prime is 992866151. The reversal of 992866140 is 41668299.

It is a happy number.

992866140 is a `hidden beast` number, since 9 + 9 + 28 + 6 + 614 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (992866129) and next prime (992866151).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4335546 + ... + 4335774.

It is an arithmetic number, because the mean of its divisors is an integer number (9788800).

Almost surely, 2992866140 is an apocalyptic number.

992866140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992866140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879449600).

992866140 is an abundant number, since it is smaller than the sum of its proper divisors (2766033060).

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

992866140 is a wasteful number, since it uses less digits than its factorization.

992866140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 992866140 is about 31509.7784822426. The cubic root of 992866140 is about 997.6163694866.

The spelling of 992866140 in words is "nine hundred ninety-two million, eight hundred sixty-six thousand, one hundred forty".