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10526940 = 22325233251
BaseRepresentation
bin101000001010…
…000011011100
3201210211020200
4220022003130
510143330230
61013343500
7155322534
oct50120334
921724220
1010526940
115a40056
123637b90
132247678
1415804c4
15dce160
hexa0a0dc

10526940 has 72 divisors (see below), whose sum is σ = 32196528. Its totient is φ = 2784000.

The previous prime is 10526911. The next prime is 10526941. The reversal of 10526940 is 4962501.

It is a super-2 number, since 2×105269402 = 221632931527200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10526941) 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, 41815 + ... + 42065.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 210526940 is an apocalyptic number.

10526940 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 10526940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098264).

10526940 is an abundant number, since it is smaller than the sum of its proper divisors (21669588).

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

10526940 is a wasteful number, since it uses less digits than its factorization.

10526940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10526940 is about 3244.5246184919. The cubic root of 10526940 is about 219.1630736366.

The spelling of 10526940 in words is "ten million, five hundred twenty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 251 466 502 699 753 932 1004 1165 1255 1398 1506 2097 2259 2330 2510 2796 3012 3495 3765 4194 4518 4660 5020 6990 7530 8388 9036 10485 11295 13980 15060 20970 22590 41940 45180 58483 116966 175449 233932 292415 350898 526347 584830 701796 877245 1052694 1169660 1754490 2105388 2631735 3508980 5263470 10526940