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99906800 = 24527311151
BaseRepresentation
bin1011111010001…
…11010011110000
320221222210100212
411331013103300
5201034004200
613525203252
72322123320
oct575072360
9227883325
1099906800
1151438504
1229560528
1317910266
14d3a9280
158b87035
hex5f474f0

99906800 has 120 divisors (see below), whose sum is σ = 283410432. Its totient is φ = 33120000.

The previous prime is 99906743. The next prime is 99906809. The reversal of 99906800 is 860999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99906809) 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, 86225 + ... + 87375.

Almost surely, 299906800 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 99906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141705216).

99906800 is an abundant number, since it is smaller than the sum of its proper divisors (183503632).

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

99906800 is a wasteful number, since it uses less digits than its factorization.

99906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 99906800 is about 9995.3389137137. The cubic root of 99906800 is about 464.0146398472.

The spelling of 99906800 in words is "ninety-nine million, nine hundred six thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 140 155 175 200 217 248 280 310 350 400 434 496 560 620 700 775 868 1085 1151 1240 1400 1550 1736 2170 2302 2480 2800 3100 3472 4340 4604 5425 5755 6200 8057 8680 9208 10850 11510 12400 16114 17360 18416 21700 23020 28775 32228 35681 40285 43400 46040 57550 64456 71362 80570 86800 92080 115100 128912 142724 161140 178405 201425 230200 249767 285448 322280 356810 402850 460400 499534 570896 644560 713620 805700 892025 999068 1248835 1427240 1611400 1784050 1998136 2497670 2854480 3222800 3568100 3996272 4995340 6244175 7136200 9990680 12488350 14272400 19981360 24976700 49953400 99906800