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99530400 = 25352113367
BaseRepresentation
bin1011110111010…
…11011010100000
320221021200001010
411323223122200
5200434433100
613513140520
72315665044
oct573533240
9227250033
1099530400
1151200732
12293ba740
131780ab38
14d30c024
158b10750
hex5eeb6a0

99530400 has 144 divisors (see below), whose sum is σ = 327729024. Its totient is φ = 26234880.

The previous prime is 99530383. The next prime is 99530401. The reversal of 99530400 is 403599.

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 (99530401) 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, 271017 + ... + 271383.

It is an arithmetic number, because the mean of its divisors is an integer number (2275896).

Almost surely, 299530400 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 99530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163864512).

99530400 is an abundant number, since it is smaller than the sum of its proper divisors (228198624).

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

99530400 is a wasteful number, since it uses less digits than its factorization.

99530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 99530400 is about 9976.4923695656. The cubic root of 99530400 is about 463.4311796989.

Adding to 99530400 its reverse (403599), we get a palindrome (99933999).

The spelling of 99530400 in words is "ninety-nine million, five hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 113 120 150 160 200 226 240 300 339 367 400 452 480 565 600 678 734 800 904 1101 1130 1200 1356 1468 1695 1808 1835 2202 2260 2400 2712 2825 2936 3390 3616 3670 4404 4520 5424 5505 5650 5872 6780 7340 8475 8808 9040 9175 10848 11010 11300 11744 13560 14680 16950 17616 18080 18350 22020 22600 27120 27525 29360 33900 35232 36700 41471 44040 45200 54240 55050 58720 67800 73400 82942 88080 90400 110100 124413 135600 146800 165884 176160 207355 220200 248826 271200 293600 331768 414710 440400 497652 622065 663536 829420 880800 995304 1036775 1244130 1327072 1658840 1990608 2073550 2488260 3110325 3317680 3981216 4147100 4976520 6220650 6635360 8294200 9953040 12441300 16588400 19906080 24882600 33176800 49765200 99530400