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10537040 = 245131713
BaseRepresentation
bin101000001100…
…100001010000
3201211100002202
4220030201100
510144141130
61013502332
7155364143
oct50144120
921740082
1010537040
115a476a8
1236419a8
13224c147
14158405a
15dd2145
hexa0c850

10537040 has 20 divisors (see below), whose sum is σ = 24498804. Its totient is φ = 4214784.

The previous prime is 10537031. The next prime is 10537073. The reversal of 10537040 is 4073501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5626384 + 4910656 = 2372^2 + 2216^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105370402 = 222058423923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65777 + ... + 65936.

Almost surely, 210537040 is an apocalyptic number.

10537040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10537040 is an abundant number, since it is smaller than the sum of its proper divisors (13961764).

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

10537040 is a wasteful number, since it uses less digits than its factorization.

10537040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131726 (or 131720 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 10537040 is about 3246.0807137223. The cubic root of 10537040 is about 219.2331427322.

The spelling of 10537040 in words is "ten million, five hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131713 263426 526852 658565 1053704 1317130 2107408 2634260 5268520 10537040