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11882376 = 2334111667
BaseRepresentation
bin101101010100…
…111110001000
3211100200120000
4231110332020
511020214001
61102403000
7202666332
oct55247610
924320500
1011882376
116786450
123b90460
1326005bc
141814452
15109aa86
hexb54f88

11882376 has 80 divisors (see below), whose sum is σ = 36329040. Its totient is φ = 3598560.

The previous prime is 11882357. The next prime is 11882401. The reversal of 11882376 is 67328811.

11882376 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 a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11882376.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6295 + ... + 7961.

It is an arithmetic number, because the mean of its divisors is an integer number (454113).

Almost surely, 211882376 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 11882376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18164520).

11882376 is an abundant number, since it is smaller than the sum of its proper divisors (24446664).

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

11882376 is a wasteful number, since it uses less digits than its factorization.

11882376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1683 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11882376 is about 3447.0822444496. The cubic root of 11882376 is about 228.1923584415.

The spelling of 11882376 in words is "eleven million, eight hundred eighty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1667 1782 2376 3334 3564 5001 6668 7128 10002 13336 15003 18337 20004 30006 36674 40008 45009 55011 60012 73348 90018 110022 120024 135027 146696 165033 180036 220044 270054 330066 360072 440088 495099 540108 660132 990198 1080216 1320264 1485297 1980396 2970594 3960792 5941188 11882376