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2053713300 = 2235229594001
BaseRepresentation
bin111101001101001…
…0010110110010100
312022010102110000120
41322122102312110
513201222311200
6535442111540
7101615163222
oct17232226624
95263373016
102053713300
119642a4221
1249394b5b0
13269632992
14156a7bb12
15c04729a0
hex7a692d94

2053713300 has 144 divisors (see below), whose sum is σ = 6252724800. Its totient is φ = 519680000.

The previous prime is 2053713293. The next prime is 2053713341. The reversal of 2053713300 is 33173502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511300 + ... + 515300.

It is an arithmetic number, because the mean of its divisors is an integer number (43421700).

Almost surely, 22053713300 is an apocalyptic number.

2053713300 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 2053713300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126362400).

2053713300 is an abundant number, since it is smaller than the sum of its proper divisors (4199011500).

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

2053713300 is a wasteful number, since it uses less digits than its factorization.

2053713300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 2053713300 is about 45317.9136766025. The cubic root of 2053713300 is about 1271.1006433902.

Adding to 2053713300 its reverse (33173502), we get a palindrome (2086886802).

The spelling of 2053713300 in words is "two billion, fifty-three million, seven hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 59 60 75 87 100 116 118 145 150 174 177 236 290 295 300 348 354 435 580 590 708 725 870 885 1180 1450 1475 1711 1740 1770 2175 2900 2950 3422 3540 4001 4350 4425 5133 5900 6844 8002 8555 8700 8850 10266 12003 16004 17110 17700 20005 20532 24006 25665 34220 40010 42775 48012 51330 60015 80020 85550 100025 102660 116029 120030 128325 171100 200050 232058 236059 240060 256650 300075 348087 400100 464116 472118 513300 580145 600150 696174 708177 944236 1160290 1180295 1200300 1392348 1416354 1740435 2320580 2360590 2832708 2900725 3480870 3540885 4721180 5801450 5901475 6845711 6961740 7081770 8702175 11602900 11802950 13691422 14163540 17404350 17704425 20537133 23605900 27382844 34228555 34808700 35408850 41074266 68457110 70817700 82148532 102685665 136914220 171142775 205371330 342285550 410742660 513428325 684571100 1026856650 2053713300