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252103400 = 23521966343
BaseRepresentation
bin11110000011011…
…00101011101000
3122120101011211222
433001230223220
51004014302100
641003241212
76150562223
oct1701545350
9576334758
10252103400
1111a34001a
1270519208
13402cac13
14256a65ba
15171ec485
hexf06cae8

252103400 has 48 divisors (see below), whose sum is σ = 616999200. Its totient is φ = 95532480.

The previous prime is 252103363. The next prime is 252103451. The reversal of 252103400 is 4301252.

252103400 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 2×2521034002 = 127112248583120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29372 + ... + 36971.

It is an arithmetic number, because the mean of its divisors is an integer number (12854150).

Almost surely, 2252103400 is an apocalyptic number.

252103400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252103400 is an abundant number, since it is smaller than the sum of its proper divisors (364895800).

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

252103400 is a wasteful number, since it uses less digits than its factorization.

252103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66378 (or 66369 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 252103400 is about 15877.7643262520. The cubic root of 252103400 is about 631.7223383735.

Adding to 252103400 its reverse (4301252), we get a palindrome (256404652).

The spelling of 252103400 in words is "two hundred fifty-two million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 66343 132686 265372 331715 530744 663430 1260517 1326860 1658575 2521034 2653720 3317150 5042068 6302585 6634300 10084136 12605170 13268600 25210340 31512925 50420680 63025850 126051700 252103400