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10130880 = 263561173
BaseRepresentation
bin100110101001…
…010111000000
3201001200221210
4212221113000
510043142010
61001050120
7152053044
oct46512700
921050853
1010130880
11579a531
123486940
132139306
1414ba024
15d51b20
hex9a95c0

10130880 has 112 divisors (see below), whose sum is σ = 32881824. Its totient is φ = 2641920.

The previous prime is 10130873. The next prime is 10130899. The reversal of 10130880 is 8803101.

It is a happy number.

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, 58474 + ... + 58646.

Almost surely, 210130880 is an apocalyptic number.

10130880 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 10130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16440912).

10130880 is an abundant number, since it is smaller than the sum of its proper divisors (22750944).

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

10130880 is a wasteful number, since it uses less digits than its factorization.

10130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10130880 is about 3182.9043340949. The cubic root of 10130880 is about 216.3793060960.

Adding to 10130880 its reverse (8803101), we get a palindrome (18933981).

The spelling of 10130880 in words is "ten million, one hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 173 183 192 240 244 305 320 346 366 480 488 519 610 692 732 865 915 960 976 1038 1220 1384 1464 1730 1830 1952 2076 2440 2595 2768 2928 3460 3660 3904 4152 4880 5190 5536 5856 6920 7320 8304 9760 10380 10553 11072 11712 13840 14640 16608 19520 20760 21106 27680 29280 31659 33216 41520 42212 52765 55360 58560 63318 83040 84424 105530 126636 158295 166080 168848 211060 253272 316590 337696 422120 506544 633180 675392 844240 1013088 1266360 1688480 2026176 2532720 3376960 5065440 10130880