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99412720 = 24511173653
BaseRepresentation
bin1011110110011…
…10101011110000
320221001200121121
411323032223300
5200422201340
613510432024
72314665001
oct573165360
9227050547
1099412720
1151130280
1229362614
13177993c4
14d2bb1a8
158ada94a
hex5eceaf0

99412720 has 80 divisors (see below), whose sum is σ = 253992672. Its totient is φ = 35886080.

The previous prime is 99412717. The next prime is 99412721. The reversal of 99412720 is 2721499.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99412721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151914 + ... + 152566.

Almost surely, 299412720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99412720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126996336).

99412720 is an abundant number, since it is smaller than the sum of its proper divisors (154579952).

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

99412720 is a wasteful number, since it uses less digits than its factorization.

99412720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 99412720 is about 9970.5927607139. The cubic root of 99412720 is about 463.2484613563.

The spelling of 99412720 in words is "ninety-nine million, four hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 173 176 220 346 440 653 692 865 880 1306 1384 1730 1903 2612 2768 3265 3460 3806 5224 6530 6920 7183 7612 9515 10448 13060 13840 14366 15224 19030 26120 28732 30448 35915 38060 52240 57464 71830 76120 112969 114928 143660 152240 225938 287320 451876 564845 574640 903752 1129690 1242659 1807504 2259380 2485318 4518760 4970636 6213295 9037520 9941272 12426590 19882544 24853180 49706360 99412720