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99428100 = 223521572111
BaseRepresentation
bin1011110110100…
…10011100000100
320221002110201020
411323102130010
5200423144400
613511031140
72315060562
oct573223404
9227073636
1099428100
1151140892
122936b4b0
13177a33c5
14d2c2a32
158ae02a0
hex5ed2704

99428100 has 72 divisors (see below), whose sum is σ = 289648128. Its totient is φ = 26332800.

The previous prime is 99428093. The next prime is 99428101. The reversal of 99428100 is 182499.

It is a super-2 number, since 2×994281002 = 19771894139220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99428101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46045 + ... + 48155.

Almost surely, 299428100 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 99428100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144824064).

99428100 is an abundant number, since it is smaller than the sum of its proper divisors (190220028).

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

99428100 is a wasteful number, since it uses less digits than its factorization.

99428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 99428100 is about 9971.3639989723. The cubic root of 99428100 is about 463.2723496272.

The spelling of 99428100 in words is "ninety-nine million, four hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2111 2355 3140 3925 4222 4710 6333 7850 8444 9420 10555 11775 12666 15700 21110 23550 25332 31665 42220 47100 52775 63330 105550 126660 158325 211100 316650 331427 633300 662854 994281 1325708 1657135 1988562 3314270 3977124 4971405 6628540 8285675 9942810 16571350 19885620 24857025 33142700 49714050 99428100