Search a number
-
+
10375368 = 2331961373
BaseRepresentation
bin100111100101…
…000011001000
3201112010022220
4213211003020
510124002433
61010214040
7154121613
oct47450310
921463286
1010375368
115947193
123584320
1321c3693
14154117a
15d9e2b3
hex9e50c8

10375368 has 64 divisors (see below), whose sum is σ = 27825600. Its totient is φ = 3214080.

The previous prime is 10375319. The next prime is 10375373. The reversal of 10375368 is 86357301.

It is a happy number.

It is a super-2 number, since 2×103753682 = 215296522270848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27630 + ... + 28002.

It is an arithmetic number, because the mean of its divisors is an integer number (434775).

Almost surely, 210375368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10375368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13912800).

10375368 is an abundant number, since it is smaller than the sum of its proper divisors (17450232).

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

10375368 is a wasteful number, since it uses less digits than its factorization.

10375368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 10375368 is about 3221.0818058534. The cubic root of 10375368 is about 218.1061122443.

The spelling of 10375368 in words is "ten million, three hundred seventy-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 244 366 373 456 488 732 746 1119 1159 1464 1492 2238 2318 2984 3477 4476 4636 6954 7087 8952 9272 13908 14174 21261 22753 27816 28348 42522 45506 56696 68259 85044 91012 136518 170088 182024 273036 432307 546072 864614 1296921 1729228 2593842 3458456 5187684 10375368