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99924030 = 23851523
BaseRepresentation
bin1011111010010…
…11100000111110
320222000200000000
411331023200332
5201040032110
613525415130
72322224463
oct575134076
9228020000
1099924030
115144a448
122956a4a6
131791805b
14d3b166a
158b8c1c0
hex5f4b83e

99924030 has 72 divisors (see below), whose sum is σ = 269958312. Its totient is φ = 26628912.

The previous prime is 99924023. The next prime is 99924037. The reversal of 99924030 is 3042999.

It is an interprime number because it is at equal distance from previous prime (99924023) and next prime (99924037).

It is a super-4 number, since 4×999240304 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99924037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64849 + ... + 66371.

It is an arithmetic number, because the mean of its divisors is an integer number (3749421).

Almost surely, 299924030 is an apocalyptic number.

99924030 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 99924030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134979156).

99924030 is an abundant number, since it is smaller than the sum of its proper divisors (170034282).

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

99924030 is an equidigital number, since it uses as much as digits as its factorization.

99924030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 99924030 is about 9996.2007782957. The cubic root of 99924030 is about 464.0413130823.

The spelling of 99924030 in words is "ninety-nine million, nine hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 1523 2187 2430 3046 3645 4374 4569 6561 7290 7615 9138 10935 13122 13707 15230 21870 22845 27414 32805 41121 45690 65610 68535 82242 123363 137070 205605 246726 370089 411210 616815 740178 1110267 1233630 1850445 2220534 3330801 3700890 5551335 6661602 9992403 11102670 16654005 19984806 33308010 49962015 99924030