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11912796 = 22327411153
BaseRepresentation
bin101101011100…
…011001011100
3211102020021200
4231130121130
511022202141
61103155500
7203154120
oct55343134
924366250
1011912796
1167a7295
123ba5b90
1326113bc
141821580
1510a4ab6
hexb5c65c

11912796 has 72 divisors (see below), whose sum is σ = 35284704. Its totient is φ = 3317760.

The previous prime is 11912731. The next prime is 11912807. The reversal of 11912796 is 69721911.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11912796.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9756 + ... + 10908.

Almost surely, 211912796 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 11912796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17642352).

11912796 is an abundant number, since it is smaller than the sum of its proper divisors (23371908).

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

11912796 is a wasteful number, since it uses less digits than its factorization.

11912796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1206 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 11912796 is about 3451.4918513594. The cubic root of 11912796 is about 228.3869237997.

The spelling of 11912796 in words is "eleven million, nine hundred twelve thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1153 1476 1722 2306 2583 3444 3459 4612 5166 6918 8071 10332 10377 13836 16142 20754 24213 32284 41508 47273 48426 72639 94546 96852 141819 145278 189092 283638 290556 330911 425457 567276 661822 850914 992733 1323644 1701828 1985466 2978199 3970932 5956398 11912796