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253371300 = 223527139281
BaseRepresentation
bin11110001101000…
…10001110100100
3122122202121002020
433012202032210
51004330340200
641050343140
76164422560
oct1706421644
9578677066
10253371300
11120026676
1270a2aab0
1340653060
14259166a0
151739cea0
hexf1a23a4

253371300 has 144 divisors (see below), whose sum is σ = 902358912. Its totient is φ = 53452800.

The previous prime is 253371269. The next prime is 253371319. The reversal of 253371300 is 3173352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22660 + ... + 31940.

Almost surely, 2253371300 is an apocalyptic number.

253371300 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 253371300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451179456).

253371300 is an abundant number, since it is smaller than the sum of its proper divisors (648987612).

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

253371300 is a wasteful number, since it uses less digits than its factorization.

253371300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9318 (or 9311 counting only the distinct ones).

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

The square root of 253371300 is about 15917.6411569051. The cubic root of 253371300 is about 632.7796052707.

The spelling of 253371300 in words is "two hundred fifty-three million, three hundred seventy-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 9281 13650 18562 27300 27843 37124 46405 55686 64967 92810 111372 120653 129934 139215 185620 194901 232025 241306 259868 278430 324835 361959 389802 464050 482612 556860 603265 649670 696075 723918 779604 844571 928100 974505 1206530 1299340 1392150 1447836 1624175 1689142 1809795 1949010 2413060 2533713 2784300 3016325 3248350 3378284 3619590 3898020 4222855 4872525 5067426 6032650 6496700 7239180 8445710 9048975 9745050 10134852 12065300 12668565 16891420 18097950 19490100 21114275 25337130 36195900 42228550 50674260 63342825 84457100 126685650 253371300