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99124920 = 233252511097
BaseRepresentation
bin1011110100010…
…00011010111000
320220112001211100
411322020122320
5200333444140
613500331400
72312355636
oct572103270
9226461740
1099124920
1150a54024
1229243b60
13176c83cb
14d244356
158a80530
hex5e886b8

99124920 has 96 divisors (see below), whose sum is σ = 323734320. Its totient is φ = 26304000.

The previous prime is 99124913. The next prime is 99124937. The reversal of 99124920 is 2942199.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 89812 + ... + 90908.

Almost surely, 299124920 is an apocalyptic number.

99124920 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 99124920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161867160).

99124920 is an abundant number, since it is smaller than the sum of its proper divisors (224609400).

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

99124920 is a wasteful number, since it uses less digits than its factorization.

99124920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99124920 is about 9956.1498582534. The cubic root of 99124920 is about 462.8009942341.

The spelling of 99124920 in words is "ninety-nine million, one hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 251 360 502 753 1004 1097 1255 1506 2008 2194 2259 2510 3012 3291 3765 4388 4518 5020 5485 6024 6582 7530 8776 9036 9873 10040 10970 11295 13164 15060 16455 18072 19746 21940 22590 26328 30120 32910 39492 43880 45180 49365 65820 78984 90360 98730 131640 197460 275347 394920 550694 826041 1101388 1376735 1652082 2202776 2478123 2753470 3304164 4130205 4956246 5506940 6608328 8260410 9912492 11013880 12390615 16520820 19824984 24781230 33041640 49562460 99124920