Search a number
-
+
11478864 = 243892687
BaseRepresentation
bin101011110010…
…011101010000
3210121012001010
4223302131100
510414310424
61050010520
7166366035
oct53623520
923535033
1011478864
116530271
123a16a40
1324bba37
14174b38c
15101b229
hexaf2750

11478864 has 40 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 3781888.

The previous prime is 11478833. The next prime is 11478881. The reversal of 11478864 is 46887411.

11478864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2929 + ... + 5615.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 211478864 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 11478864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

11478864 is an abundant number, since it is smaller than the sum of its proper divisors (18519216).

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

11478864 is a wasteful number, since it uses less digits than its factorization.

11478864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2781 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 11478864 is about 3388.0472251726. The cubic root of 11478864 is about 225.5795036960.

It can be divided in two parts, 1147 and 8864, that added together give a triangular number (10011 = T141).

The spelling of 11478864 in words is "eleven million, four hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 2687 4272 5374 8061 10748 16122 21496 32244 42992 64488 128976 239143 478286 717429 956572 1434858 1913144 2869716 3826288 5739432 11478864