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99944820 = 22335593137
BaseRepresentation
bin1011111010100…
…00100101110100
320222001201112000
411331100211310
5201041213240
613530055300
72322342213
oct575204564
9228051460
1099944820
1151464028
122957a530
1317924661
14d3b907a
158b93430
hex5f50974

99944820 has 96 divisors (see below), whose sum is σ = 316310400. Its totient is φ = 26191872.

The previous prime is 99944797. The next prime is 99944843. The reversal of 99944820 is 2844999.

It is an interprime number because it is at equal distance from previous prime (99944797) and next prime (99944843).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30292 + ... + 33428.

It is an arithmetic number, because the mean of its divisors is an integer number (3294900).

Almost surely, 299944820 is an apocalyptic number.

99944820 is a gapful number since it is divisible by the number (90) 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 99944820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158155200).

99944820 is an abundant number, since it is smaller than the sum of its proper divisors (216365580).

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

99944820 is a wasteful number, since it uses less digits than its factorization.

99944820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 99944820 is about 9997.2406192909. The cubic root of 99944820 is about 464.0734933627.

The spelling of 99944820 in words is "ninety-nine million, nine hundred forty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 531 540 590 708 885 1062 1180 1593 1770 2124 2655 3137 3186 3540 5310 6274 6372 7965 9411 10620 12548 15685 15930 18822 28233 31370 31860 37644 47055 56466 62740 84699 94110 112932 141165 169398 185083 188220 282330 338796 370166 423495 555249 564660 740332 846990 925415 1110498 1665747 1693980 1850830 2220996 2776245 3331494 3701660 4997241 5552490 6662988 8328735 9994482 11104980 16657470 19988964 24986205 33314940 49972410 99944820