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10252368 = 2432721453
BaseRepresentation
bin100111000111…
…000001010000
3201021212121100
4213013001100
510111033433
61003424400
7153100200
oct47070120
921255540
1010252368
115872835
123525100
13217c6b9
14150c400
15d77b13
hex9c7050

10252368 has 90 divisors (see below), whose sum is σ = 33399834. Its totient is φ = 2927232.

The previous prime is 10252357. The next prime is 10252379. The reversal of 10252368 is 86325201.

It is an interprime number because it is at equal distance from previous prime (10252357) and next prime (10252379).

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 63504 = 3192^2 + 252^2 .

It is a super-2 number, since 2×102523682 = 210222099214848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6330 + ... + 7782.

Almost surely, 210252368 is an apocalyptic number.

10252368 is a gapful number since it is divisible by the number (18) 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 10252368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16699917).

10252368 is an abundant number, since it is smaller than the sum of its proper divisors (23147466).

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

10252368 is a wasteful number, since it uses less digits than its factorization.

10252368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10252368 is about 3201.9319168277. The cubic root of 10252368 is about 217.2408010202.

Adding to 10252368 its reverse (86325201), we get a palindrome (96577569).

The spelling of 10252368 in words is "ten million, two hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1453 1764 2352 2906 3528 4359 5812 7056 8718 10171 11624 13077 17436 20342 23248 26154 30513 34872 40684 52308 61026 69744 71197 81368 91539 104616 122052 142394 162736 183078 209232 213591 244104 284788 366156 427182 488208 569576 640773 732312 854364 1139152 1281546 1464624 1708728 2563092 3417456 5126184 10252368