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11891220 = 22351143419
BaseRepresentation
bin101101010111…
…001000010100
3211101010200120
4231113020110
511021004340
61102511540
7203034165
oct55271024
924333616
1011891220
116792060
123b955b0
132604633
14181776c
15109d4d0
hexb57214

11891220 has 96 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 2808960.

The previous prime is 11891203. The next prime is 11891251. The reversal of 11891220 is 2219811.

It is a super-2 number, since 2×118912202 = 282802226176800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28171 + ... + 28589.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 211891220 is an apocalyptic number.

11891220 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 11891220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

11891220 is an abundant number, since it is smaller than the sum of its proper divisors (25364460).

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

11891220 is a wasteful number, since it uses less digits than its factorization.

11891220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11891220 is about 3448.3648298868. The cubic root of 11891220 is about 228.2489585898.

The spelling of 11891220 in words is "eleven million, eight hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 419 430 473 516 645 660 838 860 946 1257 1290 1419 1676 1892 2095 2365 2514 2580 2838 4190 4609 4730 5028 5676 6285 7095 8380 9218 9460 12570 13827 14190 18017 18436 23045 25140 27654 28380 36034 46090 54051 55308 69135 72068 90085 92180 108102 138270 180170 198187 216204 270255 276540 360340 396374 540510 594561 792748 990935 1081020 1189122 1981870 2378244 2972805 3963740 5945610 11891220