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11987144 = 2313791459
BaseRepresentation
bin101101101110…
…100011001000
3211120000021022
4231232203020
511032042034
61104532012
7203613641
oct55564310
924500238
1011987144
116848134
124021008
1326391b0
1418406c8
1510bbb2e
hexb6e8c8

11987144 has 32 divisors (see below), whose sum is σ = 24528000. Its totient is φ = 5458752.

The previous prime is 11987141. The next prime is 11987147. The reversal of 11987144 is 44178911.

11987144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11987141) and next prime (11987147).

It is not an unprimeable number, because it can be changed into a prime (11987141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7487 + ... + 8945.

It is an arithmetic number, because the mean of its divisors is an integer number (766500).

Almost surely, 211987144 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 11987144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12264000).

11987144 is an abundant number, since it is smaller than the sum of its proper divisors (12540856).

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

11987144 is a wasteful number, since it uses less digits than its factorization.

11987144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1553 counting only the distinct ones).

The product of its digits is 8064, while the sum is 35.

The square root of 11987144 is about 3462.2455141136. The cubic root of 11987144 is about 228.8610612616.

The spelling of 11987144 in words is "eleven million, nine hundred eighty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 1459 2054 2918 4108 5836 8216 11672 18967 37934 75868 115261 151736 230522 461044 922088 1498393 2996786 5993572 11987144