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99064200 = 23352414027
BaseRepresentation
bin1011110011110…
…01100110001000
320220101222112110
411321321212020
5200330023300
613455142320
72312013624
oct571714610
9226358473
1099064200
1150a12444
12292149a0
13176a6891
14d22a184
158a6c550
hex5e79988

99064200 has 96 divisors (see below), whose sum is σ = 314667360. Its totient is φ = 25766400.

The previous prime is 99064193. The next prime is 99064201. The reversal of 99064200 is 246099.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (99064201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22587 + ... + 26613.

It is an arithmetic number, because the mean of its divisors is an integer number (3277785).

Almost surely, 299064200 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 99064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157333680).

99064200 is an abundant number, since it is smaller than the sum of its proper divisors (215603160).

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

99064200 is a wasteful number, since it uses less digits than its factorization.

99064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 99064200 is about 9953.1000195919. The cubic root of 99064200 is about 462.7064770793.

The spelling of 99064200 in words is "ninety-nine million, sixty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4027 4100 4920 6150 8054 8200 12081 12300 16108 20135 24162 24600 32216 40270 48324 60405 80540 96648 100675 120810 161080 165107 201350 241620 302025 330214 402700 483240 495321 604050 660428 805400 825535 990642 1208100 1320856 1651070 1981284 2416200 2476605 3302140 3962568 4127675 4953210 6604280 8255350 9906420 12383025 16510700 19812840 24766050 33021400 49532100 99064200