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11139984 = 2433107241
BaseRepresentation
bin101010011111…
…101110010000
3202221222012000
4222133232100
510322434414
61034434000
7163455042
oct52375620
922858160
1011139984
1163196a9
123892900
13240070b
14169da92
15ea0b09
hexa9fb90

11139984 has 80 divisors (see below), whose sum is σ = 32408640. Its totient is φ = 3663360.

The previous prime is 11139979. The next prime is 11139991. The reversal of 11139984 is 48993111.

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 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 15 ways as a sum of consecutive naturals, for example, 46104 + ... + 46344.

It is an arithmetic number, because the mean of its divisors is an integer number (405108).

Almost surely, 211139984 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 11139984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204320).

11139984 is an abundant number, since it is smaller than the sum of its proper divisors (21268656).

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

11139984 is a wasteful number, since it uses less digits than its factorization.

11139984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 11139984 is about 3337.6614567688. The cubic root of 11139984 is about 223.3374341466.

The spelling of 11139984 in words is "eleven million, one hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 241 321 428 432 482 642 723 856 963 964 1284 1446 1712 1926 1928 2169 2568 2889 2892 3852 3856 4338 5136 5778 5784 6507 7704 8676 11556 11568 13014 15408 17352 23112 25787 26028 34704 46224 51574 52056 77361 103148 104112 154722 206296 232083 309444 412592 464166 618888 696249 928332 1237776 1392498 1856664 2784996 3713328 5569992 11139984