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10291248 = 2432117389
BaseRepresentation
bin100111010000…
…100000110000
3201100211221100
4213100200300
510113304443
61004324400
7153321432
oct47204060
921324840
1010291248
115899a70
123543700
1321942c6
14151c652
15d843d3
hex9d0830

10291248 has 120 divisors (see below), whose sum is σ = 32207760. Its totient is φ = 3041280.

The previous prime is 10291243. The next prime is 10291277. The reversal of 10291248 is 84219201.

It is not an unprimeable number, because it can be changed into a prime (10291243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115588 + ... + 115676.

It is an arithmetic number, because the mean of its divisors is an integer number (268398).

Almost surely, 210291248 is an apocalyptic number.

10291248 is a gapful number since it is divisible by the number (18) 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 10291248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16103880).

10291248 is an abundant number, since it is smaller than the sum of its proper divisors (21916512).

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

10291248 is a wasteful number, since it uses less digits than its factorization.

10291248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10291248 is about 3207.9975062334. The cubic root of 10291248 is about 217.5150683179.

The spelling of 10291248 in words is "ten million, two hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 73 88 89 99 132 144 146 176 178 198 219 264 267 292 356 396 438 528 534 584 657 712 792 801 803 876 979 1068 1168 1314 1424 1584 1602 1606 1752 1958 2136 2409 2628 2937 3204 3212 3504 3916 4272 4818 5256 5874 6408 6424 6497 7227 7832 8811 9636 10512 11748 12816 12848 12994 14454 15664 17622 19272 19491 23496 25988 28908 35244 38544 38982 46992 51976 57816 58473 70488 71467 77964 103952 115632 116946 140976 142934 155928 214401 233892 285868 311856 428802 467784 571736 643203 857604 935568 1143472 1286406 1715208 2572812 3430416 5145624 10291248