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10849950 = 235521947
BaseRepresentation
bin101001011000…
…111010011110
3202102020100000
4221120322132
510234144300
61024315130
7161136336
oct51307236
922366300
1010849950
116140801
123772aa6
13232b6b7
1416260c6
15e44c00
hexa58e9e

10849950 has 144 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 2682720.

The previous prime is 10849933. The next prime is 10849957. The reversal of 10849950 is 5994801.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10849957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230827 + ... + 230873.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 210849950 is an apocalyptic number.

10849950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10849950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

10849950 is an abundant number, since it is smaller than the sum of its proper divisors (21647970).

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

10849950 is a wasteful number, since it uses less digits than its factorization.

10849950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10849950 is about 3293.9262286821. The cubic root of 10849950 is about 221.3821388195.

The spelling of 10849950 in words is "ten million, eight hundred forty-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 47 50 54 57 75 81 90 94 95 114 135 141 150 162 171 190 225 235 243 270 282 285 342 405 423 450 470 475 486 513 570 675 705 810 846 855 893 950 1026 1175 1215 1269 1350 1410 1425 1539 1710 1786 2025 2115 2350 2430 2538 2565 2679 2850 3078 3525 3807 4050 4230 4275 4465 4617 5130 5358 6075 6345 7050 7614 7695 8037 8550 8930 9234 10575 11421 12150 12690 12825 13395 15390 16074 19035 21150 22325 22842 23085 24111 25650 26790 31725 38070 38475 40185 44650 46170 48222 57105 63450 66975 72333 76950 80370 95175 114210 115425 120555 133950 144666 190350 200925 216999 230850 241110 285525 361665 401850 433998 571050 602775 723330 1084995 1205550 1808325 2169990 3616650 5424975 10849950