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11816364 = 2237414773
BaseRepresentation
bin101101000100…
…110110101100
3211020100000010
4231010312230
511011110424
61101133220
7202303020
oct55046654
924210003
1011816364
11674089a
123b5a210
1325a9541
1417d8380
151086229
hexb44dac

11816364 has 96 divisors (see below), whose sum is σ = 33417216. Its totient is φ = 3179520.

The previous prime is 11816353. The next prime is 11816381. The reversal of 11816364 is 46361811.

11816364 = 12 + 22 + ... + 3282.

11816364 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 161832 + ... + 161904.

It is an arithmetic number, because the mean of its divisors is an integer number (348096).

Almost surely, 211816364 is an apocalyptic number.

11816364 is a gapful number since it is divisible by the number (14) 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 11816364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16708608).

11816364 is an abundant number, since it is smaller than the sum of its proper divisors (21600852).

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

11816364 is a wasteful number, since it uses less digits than its factorization.

11816364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11816364 is about 3437.4938545400. The cubic root of 11816364 is about 227.7690027333.

The spelling of 11816364 in words is "eleven million, eight hundred sixteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 47 73 82 84 94 123 141 146 164 188 219 246 282 287 292 329 438 492 511 564 574 658 861 876 987 1022 1148 1316 1533 1722 1927 1974 2044 2993 3066 3431 3444 3854 3948 5781 5986 6132 6862 7708 8979 10293 11562 11972 13489 13724 17958 20586 20951 23124 24017 26978 35916 40467 41172 41902 48034 53956 62853 72051 80934 83804 96068 125706 140671 144102 161868 251412 281342 288204 422013 562684 844026 984697 1688052 1969394 2954091 3938788 5908182 11816364