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10144260 = 2232578397
BaseRepresentation
bin100110101100…
…101000000100
3201002101022100
4212230220010
510044104020
61001232100
7152140050
oct46545004
921071270
1010144260
1157a9595
123492630
132142429
1414c0c60
15d55a90
hex9aca04

10144260 has 144 divisors (see below), whose sum is σ = 35957376. Its totient is φ = 2267136.

The previous prime is 10144249. The next prime is 10144289. The reversal of 10144260 is 6244101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104532 + ... + 104628.

It is an arithmetic number, because the mean of its divisors is an integer number (249704).

Almost surely, 210144260 is an apocalyptic number.

10144260 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 10144260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978688).

10144260 is an abundant number, since it is smaller than the sum of its proper divisors (25813116).

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

10144260 is a wasteful number, since it uses less digits than its factorization.

10144260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10144260 is about 3185.0054945008. The cubic root of 10144260 is about 216.4745226186.

Adding to 10144260 its reverse (6244101), we get a palindrome (16388361).

It can be divided in two parts, 10144 and 260, that added together give a square (10404 = 1022).

The spelling of 10144260 in words is "ten million, one hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 83 84 90 97 105 126 140 166 180 194 210 249 252 291 315 332 388 415 420 485 498 581 582 630 679 747 830 873 970 996 1162 1164 1245 1260 1358 1455 1494 1660 1743 1746 1940 2037 2324 2490 2716 2905 2910 2988 3395 3486 3492 3735 4074 4365 4980 5229 5810 5820 6111 6790 6972 7470 8051 8148 8715 8730 10185 10458 11620 12222 13580 14940 16102 17430 17460 20370 20916 24153 24444 26145 30555 32204 34860 40255 40740 48306 52290 56357 61110 72459 80510 96612 104580 112714 120765 122220 144918 161020 169071 225428 241530 281785 289836 338142 362295 483060 507213 563570 676284 724590 845355 1014426 1127140 1449180 1690710 2028852 2536065 3381420 5072130 10144260