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13051248 = 2437231179
BaseRepresentation
bin110001110010…
…010101110000
3220120001221120
4301302111300
511320114443
61143422240
7215635200
oct61622560
926501846
1013051248
117404661
124454980
13291c642
141a3a400
15122c083
hexc72570

13051248 has 120 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 3588480.

The previous prime is 13051237. The next prime is 13051261. The reversal of 13051248 is 84215031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72823 + ... + 73001.

It is an arithmetic number, because the mean of its divisors is an integer number (339264).

Almost surely, 213051248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13051248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

13051248 is an abundant number, since it is smaller than the sum of its proper divisors (27660432).

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

13051248 is a wasteful number, since it uses less digits than its factorization.

13051248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13051248 is about 3612.6511041062. The cubic root of 13051248 is about 235.4420410828.

Adding to 13051248 its reverse (84215031), we get a palindrome (97266279).

The spelling of 13051248 in words is "thirteen million, fifty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 179 186 196 217 248 294 336 358 372 392 434 496 537 588 651 716 744 784 868 1074 1176 1253 1302 1432 1488 1519 1736 2148 2352 2506 2604 2864 3038 3472 3759 4296 4557 5012 5208 5549 6076 7518 8592 8771 9114 10024 10416 11098 12152 15036 16647 17542 18228 20048 22196 24304 26313 30072 33294 35084 36456 38843 44392 52626 60144 66588 70168 72912 77686 88784 105252 116529 133176 140336 155372 210504 233058 266352 271901 310744 421008 466116 543802 621488 815703 932232 1087604 1631406 1864464 2175208 3262812 4350416 6525624 13051248