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10195460 = 225113383
BaseRepresentation
bin100110111001…
…001000000100
3201011222112122
4212321020010
510102223320
61002305112
7152442242
oct46711004
921158478
1010195460
115834000
1234b8198
13215c822
1414d5792
15d65d25
hex9b9204

10195460 has 48 divisors (see below), whose sum is σ = 23611392. Its totient is φ = 3697760.

The previous prime is 10195459. The next prime is 10195469. The reversal of 10195460 is 6459101.

Added to its reverse (6459101) it gives a square (16654561 = 40812).

It is a super-2 number, since 2×101954602 = 207894809223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10195469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26429 + ... + 26811.

It is an arithmetic number, because the mean of its divisors is an integer number (491904).

Almost surely, 210195460 is an apocalyptic number.

10195460 is a gapful number since it is divisible by the number (10) 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 10195460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805696).

10195460 is an abundant number, since it is smaller than the sum of its proper divisors (13415932).

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

10195460 is a wasteful number, since it uses less digits than its factorization.

10195460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 10195460 is about 3193.0330408563. The cubic root of 10195460 is about 216.8381075699.

Adding to 10195460 its reverse (6459101), we get a square (16654561 = 40812).

The spelling of 10195460 in words is "ten million, one hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 383 484 605 766 1210 1331 1532 1915 2420 2662 3830 4213 5324 6655 7660 8426 13310 16852 21065 26620 42130 46343 84260 92686 185372 231715 463430 509773 926860 1019546 2039092 2548865 5097730 10195460