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11489984 = 261119859
BaseRepresentation
bin101011110101…
…001011000000
3210121202021222
4223311023000
510420134414
61050134212
7166443332
oct53651300
923552258
1011489984
116538660
123a21368
1324c3b0c
141751452
15101e68e
hexaf52c0

11489984 has 56 divisors (see below), whose sum is σ = 26212800. Its totient is φ = 4942080.

The previous prime is 11489983. The next prime is 11489993. The reversal of 11489984 is 48998411.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (11489983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12947 + ... + 13805.

Almost surely, 211489984 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 11489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106400).

11489984 is an abundant number, since it is smaller than the sum of its proper divisors (14722816).

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

11489984 is a wasteful number, since it uses less digits than its factorization.

11489984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 891 counting only the distinct ones).

The product of its digits is 82944, while the sum is 44.

The square root of 11489984 is about 3389.6878912372. The cubic root of 11489984 is about 225.6523225890.

The spelling of 11489984 in words is "eleven million, four hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 859 1216 1672 1718 3344 3436 6688 6872 9449 13376 13744 16321 18898 27488 32642 37796 54976 65284 75592 130568 151184 179531 261136 302368 359062 522272 604736 718124 1044544 1436248 2872496 5744992 11489984