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11083140 = 2232567919
BaseRepresentation
bin101010010001…
…110110000100
3202212002012200
4222101312010
510314130030
61033314500
7163130235
oct52216604
922762180
1011083140
11628aa22
123865a30
1323b0893
14168708c
15e8dd60
hexa91d84

11083140 has 72 divisors (see below), whose sum is σ = 34157760. Its totient is φ = 2908224.

The previous prime is 11083139. The next prime is 11083159. The reversal of 11083140 is 4138011.

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

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, 11601 + ... + 12519.

Almost surely, 211083140 is an apocalyptic number.

11083140 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 11083140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17078880).

11083140 is an abundant number, since it is smaller than the sum of its proper divisors (23074620).

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

11083140 is a wasteful number, since it uses less digits than its factorization.

11083140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11083140 is about 3329.1350227950. The cubic root of 11083140 is about 222.9569115138.

The spelling of 11083140 in words is "eleven million, eighty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 919 1005 1206 1340 1838 2010 2412 2757 3015 3676 4020 4595 5514 6030 8271 9190 11028 12060 13785 16542 18380 27570 33084 41355 55140 61573 82710 123146 165420 184719 246292 307865 369438 554157 615730 738876 923595 1108314 1231460 1847190 2216628 2770785 3694380 5541570 11083140