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11201960 = 2357113637
BaseRepresentation
bin101010101110…
…110110101000
3210002010012102
4222232312220
510331430320
61040032532
7164133530
oct52566650
923063172
1011201960
116361220
123902748
1324229a3
1416b84c0
15eb4175
hexaaeda8

11201960 has 64 divisors (see below), whose sum is σ = 31432320. Its totient is φ = 3490560.

The previous prime is 11201951. The next prime is 11201987. The reversal of 11201960 is 6910211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1262 + ... + 4898.

It is an arithmetic number, because the mean of its divisors is an integer number (491130).

Almost surely, 211201960 is an apocalyptic number.

11201960 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 11201960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716160).

11201960 is an abundant number, since it is smaller than the sum of its proper divisors (20230360).

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

11201960 is a wasteful number, since it uses less digits than its factorization.

11201960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 11201960 is about 3346.9329243354. The cubic root of 11201960 is about 223.7508390260.

The spelling of 11201960 in words is "eleven million, two hundred one thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3637 7274 14548 18185 25459 29096 36370 40007 50918 72740 80014 101836 127295 145480 160028 200035 203672 254590 280049 320056 400070 509180 560098 800140 1018360 1120196 1400245 1600280 2240392 2800490 5600980 11201960