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10537340 = 22511211227
BaseRepresentation
bin101000001100…
…100101111100
3201211100111212
4220030211330
510144143330
61013503552
7155365052
oct50144574
921740455
1010537340
115a47950
123641bb8
13224c318
1415841d2
15dd2295
hexa0c97c

10537340 has 48 divisors (see below), whose sum is σ = 24361344. Its totient is φ = 3796800.

The previous prime is 10537339. The next prime is 10537367. The reversal of 10537340 is 4373501.

It is a happy number.

It is a super-2 number, since 2×105373402 = 222071068551200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 46307 + ... + 46533.

It is an arithmetic number, because the mean of its divisors is an integer number (507528).

Almost surely, 210537340 is an apocalyptic number.

10537340 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 10537340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12180672).

10537340 is an abundant number, since it is smaller than the sum of its proper divisors (13824004).

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

10537340 is a wasteful number, since it uses less digits than its factorization.

10537340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 10537340 is about 3246.1269229653. The cubic root of 10537340 is about 219.2352233076.

The spelling of 10537340 in words is "ten million, five hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 227 422 454 844 908 1055 1135 2110 2270 2321 2497 4220 4540 4642 4994 9284 9988 11605 12485 23210 24970 46420 47897 49940 95794 191588 239485 478970 526867 957940 1053734 2107468 2634335 5268670 10537340