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2139599800 = 2352134717509
BaseRepresentation
bin111111110000111…
…1011001110111000
312112010000221011001
41333201323032320
513340214143200
6552151014344
7104010204202
oct17741731670
95463027131
102139599800
119a8825aa8
124b866a3b4
132813744b0
14164237772
15c7c8a76a
hex7f87b3b8

2139599800 has 96 divisors (see below), whose sum is σ = 5471524800. Its totient is φ = 773153280.

The previous prime is 2139599797. The next prime is 2139599807. The reversal of 2139599800 is 89959312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139599807) 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, 113446 + ... + 130954.

It is an arithmetic number, because the mean of its divisors is an integer number (56995050).

Almost surely, 22139599800 is an apocalyptic number.

2139599800 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 2139599800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735762400).

2139599800 is an abundant number, since it is smaller than the sum of its proper divisors (3331925000).

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

2139599800 is a wasteful number, since it uses less digits than its factorization.

2139599800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17585 (or 17576 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 2139599800 is about 46255.8082839334. The cubic root of 2139599800 is about 1288.5784071246.

The spelling of 2139599800 in words is "two billion, one hundred thirty-nine million, five hundred ninety-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 47 50 52 65 94 100 104 130 188 200 235 260 325 376 470 520 611 650 940 1175 1222 1300 1880 2350 2444 2600 3055 4700 4888 6110 9400 12220 15275 17509 24440 30550 35018 61100 70036 87545 122200 140072 175090 227617 350180 437725 455234 700360 822923 875450 910468 1138085 1645846 1750900 1820936 2276170 3291692 3501800 4114615 4552340 5690425 6583384 8229230 9104680 10697999 11380850 16458460 20573075 21395998 22761700 32916920 41146150 42791996 45523400 53489995 82292300 85583992 106979990 164584600 213959980 267449975 427919960 534899950 1069799900 2139599800