Search a number
-
+
11987892 = 22337101157
BaseRepresentation
bin101101101110…
…101110110100
3211120001022000
4231232232310
511032103032
61104535300
7203616060
oct55565664
924501260
1011987892
116848754
124021530
132639637
141840aa0
1510bbe7c
hexb6ebb4

11987892 has 96 divisors (see below), whose sum is σ = 36099840. Its totient is φ = 3369600.

The previous prime is 11987891. The next prime is 11987893. The reversal of 11987892 is 29878911.

It is an interprime number because it is at equal distance from previous prime (11987891) and next prime (11987893).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11987891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76278 + ... + 76434.

It is an arithmetic number, because the mean of its divisors is an integer number (376040).

Almost surely, 211987892 is an apocalyptic number.

11987892 is a gapful number since it is divisible by the number (12) 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 11987892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18049920).

11987892 is an abundant number, since it is smaller than the sum of its proper divisors (24111948).

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

11987892 is a wasteful number, since it uses less digits than its factorization.

11987892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 11987892 is about 3462.3535348084. The cubic root of 11987892 is about 228.8658214867.

The spelling of 11987892 in words is "eleven million, nine hundred eighty-seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 101 108 126 157 189 202 252 303 314 378 404 471 606 628 707 756 909 942 1099 1212 1413 1414 1818 1884 2121 2198 2727 2826 2828 3297 3636 4239 4242 4396 5454 5652 6363 6594 8478 8484 9891 10908 12726 13188 15857 16956 19089 19782 25452 29673 31714 38178 39564 47571 59346 63428 76356 95142 110999 118692 142713 190284 221998 285426 332997 428139 443996 570852 665994 856278 998991 1331988 1712556 1997982 2996973 3995964 5993946 11987892