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99940100 = 225213591303
BaseRepresentation
bin1011111010011…
…11011100000100
320222001111001012
411331033130010
5201041040400
613530021352
72322322361
oct575173404
9228044035
1099940100
1151460527
1229577858
1317922470
14d3b7468
158b91d35
hex5f4f704

99940100 has 72 divisors (see below), whose sum is σ = 237693120. Its totient is φ = 36247680.

The previous prime is 99940091. The next prime is 99940117. The reversal of 99940100 is 104999.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76049 + ... + 77351.

Almost surely, 299940100 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 99940100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118846560).

99940100 is an abundant number, since it is smaller than the sum of its proper divisors (137753020).

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

99940100 is a wasteful number, since it uses less digits than its factorization.

99940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 99940100 is about 9997.0045513644. The cubic root of 99940100 is about 464.0661877936.

The spelling of 99940100 in words is "ninety-nine million, nine hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 130 236 260 295 325 590 650 767 1180 1300 1303 1475 1534 2606 2950 3068 3835 5212 5900 6515 7670 13030 15340 16939 19175 26060 32575 33878 38350 65150 67756 76700 76877 84695 130300 153754 169390 307508 338780 384385 423475 768770 846950 999401 1537540 1693900 1921925 1998802 3843850 3997604 4997005 7687700 9994010 19988020 24985025 49970050 99940100