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11306196 = 22331131307
BaseRepresentation
bin101011001000…
…010011010100
3210021102012000
4223020103110
510343244241
61042155300
7165046446
oct53102324
923242160
1011306196
116422570
123952b30
13245b275
141704496
15ed4eb6
hexac84d4

11306196 has 96 divisors (see below), whose sum is σ = 33116160. Its totient is φ = 3304800.

The previous prime is 11306171. The next prime is 11306203. The reversal of 11306196 is 69160311.

11306196 is a `hidden beast` number, since 11 + 30 + 619 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36675 + ... + 36981.

It is an arithmetic number, because the mean of its divisors is an integer number (344960).

Almost surely, 211306196 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 11306196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558080).

11306196 is an abundant number, since it is smaller than the sum of its proper divisors (21809964).

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

11306196 is a wasteful number, since it uses less digits than its factorization.

11306196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11306196 is about 3362.4687359141. The cubic root of 11306196 is about 224.4427097064.

The spelling of 11306196 in words is "eleven million, three hundred six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 307 341 372 396 558 594 614 682 837 921 1023 1116 1188 1228 1364 1674 1842 2046 2763 3069 3348 3377 3684 4092 5526 6138 6754 8289 9207 9517 10131 11052 12276 13508 16578 18414 19034 20262 28551 30393 33156 36828 38068 40524 57102 60786 85653 91179 104687 114204 121572 171306 182358 209374 256959 314061 342612 364716 418748 513918 628122 942183 1027836 1256244 1884366 2826549 3768732 5653098 11306196