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20099400 = 23352139241
BaseRepresentation
bin100110010101…
…1000101001000
31101211011012020
41030223011020
520121140100
61554444440
7332561556
oct114530510
941734166
1020099400
1110388a82
126893720
134219749
142952bd6
151b705a0
hex132b148

20099400 has 96 divisors (see below), whose sum is σ = 63016800. Its totient is φ = 5299200.

The previous prime is 20099383. The next prime is 20099419. The reversal of 20099400 is 499002.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 83280 + ... + 83520.

It is an arithmetic number, because the mean of its divisors is an integer number (656425).

Almost surely, 220099400 is an apocalyptic number.

20099400 is a gapful number since it is divisible by the number (20) 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 20099400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31508400).

20099400 is an abundant number, since it is smaller than the sum of its proper divisors (42917400).

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

20099400 is a wasteful number, since it uses less digits than its factorization.

20099400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 20099400 is about 4483.2354388321. The cubic root of 20099400 is about 271.8907072442.

The spelling of 20099400 in words is "twenty million, ninety-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 139 150 200 241 278 300 417 482 556 600 695 723 834 964 1112 1205 1390 1446 1668 1928 2085 2410 2780 2892 3336 3475 3615 4170 4820 5560 5784 6025 6950 7230 8340 9640 10425 12050 13900 14460 16680 18075 20850 24100 27800 28920 33499 36150 41700 48200 66998 72300 83400 100497 133996 144600 167495 200994 267992 334990 401988 502485 669980 803976 837475 1004970 1339960 1674950 2009940 2512425 3349900 4019880 5024850 6699800 10049700 20099400