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11993166 = 2322359491
BaseRepresentation
bin101101110000…
…000001001110
3211120022112100
4231300001032
511032240131
61105015530
7203640333
oct55600116
924508470
1011993166
116851709
1240245a6
13263bb63
14184298a
1510bd7e6
hexb7004e

11993166 has 48 divisors (see below), whose sum is σ = 27630720. Its totient is φ = 3751440.

The previous prime is 11993147. The next prime is 11993167. The reversal of 11993166 is 66139911.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11993166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11993167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24181 + ... + 24671.

It is an arithmetic number, because the mean of its divisors is an integer number (575640).

Almost surely, 211993166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11993166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815360).

11993166 is an abundant number, since it is smaller than the sum of its proper divisors (15637554).

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

11993166 is a wasteful number, since it uses less digits than its factorization.

11993166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 578 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 11993166 is about 3463.1150717237. The cubic root of 11993166 is about 228.8993792736.

The spelling of 11993166 in words is "eleven million, nine hundred ninety-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 59 69 118 138 177 207 354 414 491 531 982 1062 1357 1473 2714 2946 4071 4419 8142 8838 11293 12213 22586 24426 28969 33879 57938 67758 86907 101637 173814 203274 260721 521442 666287 1332574 1998861 3997722 5996583 11993166