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10375904 = 257114211
BaseRepresentation
bin100111100101…
…001011100000
3201112011001202
4213211023200
510124012104
61010220332
7154123310
oct47451340
921464052
1010375904
115947630
1235846a8
1321c39b6
141541440
15d9e51e
hex9e52e0

10375904 has 48 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 4041600.

The previous prime is 10375901. The next prime is 10375907. The reversal of 10375904 is 40957301.

It is an interprime number because it is at equal distance from previous prime (10375901) and next prime (10375907).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10375901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359 + ... + 4569.

It is an arithmetic number, because the mean of its divisors is an integer number (530712).

Almost surely, 210375904 is an apocalyptic number.

10375904 is a gapful number since it is divisible by the number (14) 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 10375904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

10375904 is an abundant number, since it is smaller than the sum of its proper divisors (15098272).

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

10375904 is a wasteful number, since it uses less digits than its factorization.

10375904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 10375904 is about 3221.1650066397. The cubic root of 10375904 is about 218.1098680263.

The spelling of 10375904 in words is "ten million, three hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4211 8422 16844 29477 33688 46321 58954 67376 92642 117908 134752 185284 235816 324247 370568 471632 648494 741136 943264 1296988 1482272 2593976 5187952 10375904