Search a number
-
+
10549104 = 2431943269
BaseRepresentation
bin101000001111…
…011101110000
3201211221122120
4220033131300
510200032404
61014034240
7155444256
oct50173560
921757576
1010549104
115a55775
123648980
132254797
1415885d6
15dd59d9
hexa0f770

10549104 has 80 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 3241728.

The previous prime is 10549093. The next prime is 10549151. The reversal of 10549104 is 40194501.

10549104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105491042 = 222567190405632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39082 + ... + 39350.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 210549104 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 10549104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

10549104 is an abundant number, since it is smaller than the sum of its proper divisors (18913296).

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

10549104 is a wasteful number, since it uses less digits than its factorization.

10549104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 10549104 is about 3247.9384230616. The cubic root of 10549104 is about 219.3167784879.

The spelling of 10549104 in words is "ten million, five hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 43 48 57 76 86 114 129 152 172 228 258 269 304 344 456 516 538 688 807 817 912 1032 1076 1614 1634 2064 2152 2451 3228 3268 4304 4902 5111 6456 6536 9804 10222 11567 12912 13072 15333 19608 20444 23134 30666 34701 39216 40888 46268 61332 69402 81776 92536 122664 138804 185072 219773 245328 277608 439546 555216 659319 879092 1318638 1758184 2637276 3516368 5274552 10549104