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99683136 = 263474167
BaseRepresentation
bin1011111000100…
…00101101000000
320221120102120000
411330100231000
5201004330021
613520320000
72320202250
oct574205500
9227512500
1099683136
11512a5463
1229473000
1317862507
14d34b960
158b40b26
hex5f10b40

99683136 has 280 divisors, whose sum is σ = 351105216. Its totient is φ = 27371520.

The previous prime is 99683123. The next prime is 99683147. The reversal of 99683136 is 63138699.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 99683091 and 99683100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1487775 + ... + 1487841.

Almost surely, 299683136 is an apocalyptic number.

99683136 is a gapful number since it is divisible by the number (96) 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 99683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175552608).

99683136 is an abundant number, since it is smaller than the sum of its proper divisors (251422080).

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

99683136 is a wasteful number, since it uses less digits than its factorization.

99683136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 99683136 is about 9984.1442297275. The cubic root of 99683136 is about 463.6681138370.

The spelling of 99683136 in words is "ninety-nine million, six hundred eighty-three thousand, one hundred thirty-six".