Search a number
-
+
10537404 = 2232373523
BaseRepresentation
bin101000001100…
…100110111100
3201211100121020
4220030212330
510144144104
61013504140
7155365203
oct50144674
921740536
1010537404
115a479a9
123642050
13224c367
14158423a
15dd22d9
hexa0c9bc

10537404 has 48 divisors (see below), whose sum is σ = 26057472. Its totient is φ = 3307392.

The previous prime is 10537393. The next prime is 10537409. The reversal of 10537404 is 40473501.

It is a super-2 number, since 2×105374042 = 222073766118432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10537409) by changing a digit.

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, 19887 + ... + 20409.

It is an arithmetic number, because the mean of its divisors is an integer number (542864).

Almost surely, 210537404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10537404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13028736).

10537404 is an abundant number, since it is smaller than the sum of its proper divisors (15520068).

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

10537404 is a wasteful number, since it uses less digits than its factorization.

10537404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 10537404 is about 3246.1367808520. The cubic root of 10537404 is about 219.2356671586.

The spelling of 10537404 in words is "ten million, five hundred thirty-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 219 276 292 438 523 876 1046 1569 1679 2092 3138 3358 5037 6276 6716 10074 12029 20148 24058 36087 38179 48116 72174 76358 114537 144348 152716 229074 458148 878117 1756234 2634351 3512468 5268702 10537404