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11312040 = 2335107881
BaseRepresentation
bin101011001001…
…101110101000
3210021201012110
4223021232220
510343441130
61042242320
7165102465
oct53115650
923251173
1011312040
1164269a3
1239563a0
132460b1c
14170666c
15ed6ab0
hexac9ba8

11312040 has 64 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 2984960.

The previous prime is 11312039. The next prime is 11312051. The reversal of 11312040 is 4021311.

It is a happy number.

11312040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 12400 + ... + 13280.

It is an arithmetic number, because the mean of its divisors is an integer number (535815).

Almost surely, 211312040 is an apocalyptic number.

11312040 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 11312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

11312040 is an abundant number, since it is smaller than the sum of its proper divisors (22980120).

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

11312040 is a wasteful number, since it uses less digits than its factorization.

11312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11312040 is about 3363.3376280118. The cubic root of 11312040 is about 224.4813733816.

Adding to 11312040 its reverse (4021311), we get a palindrome (15333351).

The spelling of 11312040 in words is "eleven million, three hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 881 1070 1284 1605 1762 2140 2568 2643 3210 3524 4280 4405 5286 6420 7048 8810 10572 12840 13215 17620 21144 26430 35240 52860 94267 105720 188534 282801 377068 471335 565602 754136 942670 1131204 1414005 1885340 2262408 2828010 3770680 5656020 11312040