Search a number
-
+
11730888 = 23321383151
BaseRepresentation
bin101100101111…
…111111001000
3211001222202100
4230233333020
511000342023
61055233400
7201465561
oct54577710
924058670
1011730888
116692654
123b18860
132579670
1417b5168
15106ac43
hexb2ffc8

11730888 has 96 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 3542400.

The previous prime is 11730857. The next prime is 11730893. The reversal of 11730888 is 88803711.

It is a super-2 number, since 2×117308882 = 275227466537088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77613 + ... + 77763.

It is an arithmetic number, because the mean of its divisors is an integer number (363090).

Almost surely, 211730888 is an apocalyptic number.

11730888 is a gapful number since it is divisible by the number (18) 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 11730888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

11730888 is an abundant number, since it is smaller than the sum of its proper divisors (23125752).

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

11730888 is a wasteful number, since it uses less digits than its factorization.

11730888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 11730888 is about 3425.0383939454. The cubic root of 11730888 is about 227.2184691228.

The spelling of 11730888 in words is "eleven million, seven hundred thirty thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 83 104 117 151 156 166 234 249 302 312 332 453 468 498 604 664 747 906 936 996 1079 1208 1359 1494 1812 1963 1992 2158 2718 2988 3237 3624 3926 4316 5436 5889 5976 6474 7852 8632 9711 10872 11778 12533 12948 15704 17667 19422 23556 25066 25896 35334 37599 38844 47112 50132 70668 75198 77688 100264 112797 141336 150396 162929 225594 300792 325858 451188 488787 651716 902376 977574 1303432 1466361 1955148 2932722 3910296 5865444 11730888