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253373100 = 223521749681
BaseRepresentation
bin11110001101000…
…10101010101100
3122122202200112220
433012202222230
51004330414400
641050355340
76164431041
oct1706425254
9578680486
10253373100
11120027a62
1270a2bb50
1340653b16
14259171c8
151739d7a0
hexf1a2aac

253373100 has 72 divisors (see below), whose sum is σ = 776231568. Its totient is φ = 63590400.

The previous prime is 253373089. The next prime is 253373101. The reversal of 253373100 is 1373352.

253373100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2533731002 = 128395855607220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253373101) 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, 19741 + ... + 29940.

It is an arithmetic number, because the mean of its divisors is an integer number (10780994).

Almost surely, 2253373100 is an apocalyptic number.

253373100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253373100 is an abundant number, since it is smaller than the sum of its proper divisors (522858468).

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

253373100 is a wasteful number, since it uses less digits than its factorization.

253373100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49715 (or 49708 counting only the distinct ones).

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

The square root of 253373100 is about 15917.6976978456. The cubic root of 253373100 is about 632.7811037312.

The spelling of 253373100 in words is "two hundred fifty-three million, three hundred seventy-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 49681 99362 149043 198724 248405 298086 496810 596172 745215 844577 993620 1242025 1490430 1689154 2484050 2533731 2980860 3378308 3726075 4222885 4968100 5067462 7452150 8445770 10134924 12668655 14904300 16891540 21114425 25337310 42228850 50674620 63343275 84457700 126686550 253373100