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10540332 = 22321143619
BaseRepresentation
bin101000001101…
…010100101100
3201211111121200
4220031110230
510144242312
61013525500
7155406555
oct50152454
921744550
1010540332
115a4a120
123643890
1322507aa
14158532c
15dd30dc
hexa0d52c

10540332 has 72 divisors (see below), whose sum is σ = 29789760. Its totient is φ = 3114720.

The previous prime is 10540331. The next prime is 10540333. The reversal of 10540332 is 23304501.

It is an interprime number because it is at equal distance from previous prime (10540331) and next prime (10540333).

It is a super-2 number, since 2×105403322 = 222197197340448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10540331) 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, 16719 + ... + 17337.

Almost surely, 210540332 is an apocalyptic number.

10540332 is a gapful number since it is divisible by the number (12) 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 10540332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894880).

10540332 is an abundant number, since it is smaller than the sum of its proper divisors (19249428).

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

10540332 is a wasteful number, since it uses less digits than its factorization.

10540332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10540332 is about 3246.5877471585. The cubic root of 10540332 is about 219.2559714191.

Adding to 10540332 its reverse (23304501), we get a palindrome (33844833).

The spelling of 10540332 in words is "ten million, five hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 619 774 946 1238 1419 1548 1857 1892 2476 2838 3714 4257 5571 5676 6809 7428 8514 11142 13618 17028 20427 22284 26617 27236 40854 53234 61281 79851 81708 106468 122562 159702 239553 245124 292787 319404 479106 585574 878361 958212 1171148 1756722 2635083 3513444 5270166 10540332