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2011392 = 283497
BaseRepresentation
bin111101011000100000000
310210012010000
413223010000
51003331032
6111040000
723045055
oct7530400
93705100
102011392
111154209
12810000
13555696
143a502c
1529ae7c
hex1eb100

2011392 has 90 divisors (see below), whose sum is σ = 6059438. Its totient is φ = 663552.

The previous prime is 2011391. The next prime is 2011393. The reversal of 2011392 is 2931102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2011391) and next prime (2011393).

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 331776 = 1296^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2011391) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20688 + ... + 20784.

22011392 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 2011392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029719).

2011392 is an abundant number, since it is smaller than the sum of its proper divisors (4048046).

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

2011392 is an frugal number, since it uses more digits than its factorization.

2011392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2011392 is about 1418.2355234586. The cubic root of 2011392 is about 126.2308692380.

Adding to 2011392 its reverse (2931102), we get a palindrome (4942494).

The spelling of 2011392 in words is "two million, eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 128 144 162 192 194 216 256 288 291 324 384 388 432 576 582 648 768 776 864 873 1152 1164 1296 1552 1728 1746 2304 2328 2592 2619 3104 3456 3492 4656 5184 5238 6208 6912 6984 7857 9312 10368 10476 12416 13968 15714 18624 20736 20952 24832 27936 31428 37248 41904 55872 62856 74496 83808 111744 125712 167616 223488 251424 335232 502848 670464 1005696 2011392