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10130736 = 2437112741
BaseRepresentation
bin100110101001…
…010100110000
3201001200202110
4212221110300
510043140421
61001045320
7152052450
oct46512460
921050673
1010130736
11579a410
123486840
132139225
1414b9d60
15d51a76
hex9a9530

10130736 has 80 divisors (see below), whose sum is σ = 32640768. Its totient is φ = 2630400.

The previous prime is 10130719. The next prime is 10130753. The reversal of 10130736 is 63703101.

It is an interprime number because it is at equal distance from previous prime (10130719) and next prime (10130753).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2326 + ... + 5066.

Almost surely, 210130736 is an apocalyptic number.

10130736 is a gapful number since it is divisible by the number (16) 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 10130736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320384).

10130736 is an abundant number, since it is smaller than the sum of its proper divisors (22510032).

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

10130736 is a wasteful number, since it uses less digits than its factorization.

10130736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 10130736 is about 3182.8817131650. The cubic root of 10130736 is about 216.3782808884.

Adding to 10130736 its reverse (63703101), we get a palindrome (73833837).

The spelling of 10130736 in words is "ten million, one hundred thirty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 2741 3696 5482 8223 10964 16446 19187 21928 30151 32892 38374 43856 57561 60302 65784 76748 90453 115122 120604 131568 153496 180906 211057 230244 241208 306992 361812 422114 460488 482416 633171 723624 844228 920976 1266342 1447248 1688456 2532684 3376912 5065368 10130736