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99382140 = 22355112132
BaseRepresentation
bin1011110110001…
…11001101111100
320221000010200000
411323013031330
5200420212030
613510034300
72314506564
oct573071574
9227003600
1099382140
115110a300
1229348990
1317788500
14d2adda4
158ad1860
hex5ec737c

99382140 has 324 divisors, whose sum is σ = 372094632. Its totient is φ = 22239360.

The previous prime is 99382139. The next prime is 99382147. The reversal of 99382140 is 4128399.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 99382095 and 99382104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99382147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7644774 + ... + 7644786.

Almost surely, 299382140 is an apocalyptic number.

99382140 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 99382140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186047316).

99382140 is an abundant number, since it is smaller than the sum of its proper divisors (272712492).

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

99382140 is a wasteful number, since it uses less digits than its factorization.

99382140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 99382140 is about 9969.0591331379. The cubic root of 99382140 is about 463.2009570707.

The spelling of 99382140 in words is "ninety-nine million, three hundred eighty-two thousand, one hundred forty".