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10265080 = 235761601
BaseRepresentation
bin100111001010…
…000111111000
3201022112001011
4213022013320
510111440310
61004003304
7153152230
oct47120770
921275034
1010265080
115881341
123530534
132185417
141512cc0
15d7b78a
hex9ca1f8

10265080 has 64 divisors (see below), whose sum is σ = 26873280. Its totient is φ = 3456000.

The previous prime is 10265077. The next prime is 10265119. The reversal of 10265080 is 8056201.

It is a happy number.

10265080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 16780 + ... + 17380.

It is an arithmetic number, because the mean of its divisors is an integer number (419895).

Almost surely, 210265080 is an apocalyptic number.

10265080 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 10265080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436640).

10265080 is an abundant number, since it is smaller than the sum of its proper divisors (16608200).

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

10265080 is a wasteful number, since it uses less digits than its factorization.

10265080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10265080 is about 3203.9163534649. The cubic root of 10265080 is about 217.3305501879.

The spelling of 10265080 in words is "ten million, two hundred sixty-five thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 601 610 854 1202 1220 1708 2135 2404 2440 3005 3416 4207 4270 4808 6010 8414 8540 12020 16828 17080 21035 24040 33656 36661 42070 73322 84140 146644 168280 183305 256627 293288 366610 513254 733220 1026508 1283135 1466440 2053016 2566270 5132540 10265080