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11883144 = 2337135441
BaseRepresentation
bin101101010101…
…001010001000
3211100201121110
4231111022020
511020230034
61102410320
7203001510
oct55251210
924321543
1011883144
116786a89
123b909a0
132600a60
141814840
15109ade9
hexb55288

11883144 has 64 divisors (see below), whose sum is σ = 36570240. Its totient is φ = 3133440.

The previous prime is 11883133. The next prime is 11883149. The reversal of 11883144 is 44138811.

It is a super-2 number, since 2×118831442 = 282418222649472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11883149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537 + ... + 4904.

It is an arithmetic number, because the mean of its divisors is an integer number (571410).

Almost surely, 211883144 is an apocalyptic number.

11883144 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 11883144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18285120).

11883144 is an abundant number, since it is smaller than the sum of its proper divisors (24687096).

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

11883144 is a wasteful number, since it uses less digits than its factorization.

11883144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5466 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 11883144 is about 3447.1936412102. The cubic root of 11883144 is about 228.1972746288.

The spelling of 11883144 in words is "eleven million, eight hundred eighty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 5441 10882 16323 21764 32646 38087 43528 65292 70733 76174 114261 130584 141466 152348 212199 228522 282932 304696 424398 457044 495131 565864 848796 914088 990262 1485393 1697592 1980524 2970786 3961048 5941572 11883144