Search a number
-
+
11348480 = 295111331
BaseRepresentation
bin101011010010…
…101000000000
3210100120012002
4223102220000
510401122410
61043123132
7165313643
oct53225000
923316162
1011348480
116451310
1239734a8
1324745a0
141715a5a
15ee27a5
hexad2a00

11348480 has 160 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 3686400.

The previous prime is 11348443. The next prime is 11348509. The reversal of 11348480 is 8484311.

It is a tau number, because it is divible by the number of its divisors (160).

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, 366065 + ... + 366095.

Almost surely, 211348480 is an apocalyptic number.

11348480 is a gapful number since it is divisible by the number (10) 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 11348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

11348480 is an abundant number, since it is smaller than the sum of its proper divisors (21649408).

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

11348480 is a wasteful number, since it uses less digits than its factorization.

11348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 11348480 is about 3368.7505102040. The cubic root of 11348480 is about 224.7221591075.

The spelling of 11348480 in words is "eleven million, three hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 32 40 44 52 55 62 64 65 80 88 104 110 124 128 130 143 155 160 176 208 220 248 256 260 286 310 320 341 352 403 416 440 496 512 520 572 620 640 682 704 715 806 832 880 992 1040 1144 1240 1280 1364 1408 1430 1612 1664 1705 1760 1984 2015 2080 2288 2480 2560 2728 2816 2860 3224 3328 3410 3520 3968 4030 4160 4433 4576 4960 5456 5632 5720 6448 6656 6820 7040 7936 8060 8320 8866 9152 9920 10912 11440 12896 13640 14080 15872 16120 16640 17732 18304 19840 21824 22165 22880 25792 27280 28160 32240 33280 35464 36608 39680 43648 44330 45760 51584 54560 64480 70928 73216 79360 87296 88660 91520 103168 109120 128960 141856 174592 177320 183040 206336 218240 257920 283712 354640 366080 436480 515840 567424 709280 872960 1031680 1134848 1418560 2269696 2837120 5674240 11348480