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99915930 = 2345293421
BaseRepresentation
bin1011111010010…
…01100010011010
320222000020220000
411331021202122
5201034302210
613525313430
72322162042
oct575114232
9228006800
1099915930
1151444354
1229565876
131791446a
14d3ac722
158b89ac0
hex5f4989a

99915930 has 80 divisors (see below), whose sum is σ = 270220104. Its totient is φ = 26490240.

The previous prime is 99915929. The next prime is 99915931. The reversal of 99915930 is 3951999.

It is an interprime number because it is at equal distance from previous prime (99915929) and next prime (99915931).

It can be written as a sum of positive squares in 4 ways, for example, as 72948681 + 26967249 = 8541^2 + 5193^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99915931) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 237120 + ... + 237540.

Almost surely, 299915930 is an apocalyptic number.

99915930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99915930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135110052).

99915930 is an abundant number, since it is smaller than the sum of its proper divisors (170304174).

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

99915930 is a wasteful number, since it uses less digits than its factorization.

99915930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 98415, while the sum is 45.

The square root of 99915930 is about 9995.7956161578. The cubic root of 99915930 is about 464.0287741024.

The spelling of 99915930 in words is "ninety-nine million, nine hundred fifteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 293 405 421 586 810 842 879 1263 1465 1758 2105 2526 2637 2930 3789 4210 4395 5274 6315 7578 7911 8790 11367 12630 13185 15822 18945 22734 23733 26370 34101 37890 39555 47466 56835 68202 79110 113670 118665 123353 170505 237330 246706 341010 370059 616765 740118 1110177 1233530 1850295 2220354 3330531 3700590 5550885 6661062 9991593 11101770 16652655 19983186 33305310 49957965 99915930