Search a number
-
+
10553148 = 2232535531
BaseRepresentation
bin101000010000…
…011100111100
3201212011012100
4220100130330
510200200043
61014105100
7155462124
oct50203474
921764170
1010553148
115a58811
12364b190
132256588
141589c84
15dd6cd3
hexa1073c

10553148 has 36 divisors (see below), whose sum is σ = 27184248. Its totient is φ = 3450720.

The previous prime is 10553111. The next prime is 10553161. The reversal of 10553148 is 84135501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×105531483 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858 + ... + 4673.

It is an arithmetic number, because the mean of its divisors is an integer number (755118).

Almost surely, 210553148 is an apocalyptic number.

10553148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10553148 is an abundant number, since it is smaller than the sum of its proper divisors (16631100).

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

10553148 is a wasteful number, since it uses less digits than its factorization.

10553148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10553148 is about 3248.5609121579. The cubic root of 10553148 is about 219.3447999433.

Adding to 10553148 its reverse (84135501), we get a palindrome (94688649).

It can be divided in two parts, 10553 and 148, that added together give a palindrome (10701).

The spelling of 10553148 in words is "ten million, five hundred fifty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 5531 11062 16593 22124 33186 49779 66372 99558 199116 293143 586286 879429 1172572 1758858 2638287 3517716 5276574 10553148