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990031140 = 223357436091
BaseRepresentation
bin111011000000101…
…010110100100100
32112222220210102000
4323000222310210
54011421444030
6242123445300
733351061110
oct7300526444
92488823360
10990031140
1146893505a
12237686830
1312a159857
14956b4740
155bdb2860
hex3b02ad24

990031140 has 192 divisors, whose sum is σ = 3602565120. Its totient is φ = 220993920.

The previous prime is 990031129. The next prime is 990031177. The reversal of 990031140 is 41130099.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159495 + ... + 165585.

It is an arithmetic number, because the mean of its divisors is an integer number (18763360).

Almost surely, 2990031140 is an apocalyptic number.

990031140 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 990031140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801282560).

990031140 is an abundant number, since it is smaller than the sum of its proper divisors (2612533980).

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

990031140 is a wasteful number, since it uses less digits than its factorization.

990031140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 990031140 is about 31464.7602882971. The cubic root of 990031140 is about 996.6659430849.

The spelling of 990031140 in words is "nine hundred ninety million, thirty-one thousand, one hundred forty".