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11687874 = 2311217947
BaseRepresentation
bin101100100101…
…011111000010
3210222210202020
4230211133002
510443002444
61054302310
7201226302
oct54453702
923883666
1011687874
116663300
123ab7996
132562c03
1417a3602
15105d119
hexb257c2

11687874 has 48 divisors (see below), whose sum is σ = 27234144. Its totient is φ = 3329920.

The previous prime is 11687861. The next prime is 11687903. The reversal of 11687874 is 47878611.

It is a happy number.

11687874 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11869 + ... + 12815.

It is an arithmetic number, because the mean of its divisors is an integer number (567378).

Almost surely, 211687874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11687874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617072).

11687874 is an abundant number, since it is smaller than the sum of its proper divisors (15546270).

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

11687874 is a wasteful number, since it uses less digits than its factorization.

11687874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 980 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 11687874 is about 3418.7532815341. The cubic root of 11687874 is about 226.9404127270.

It can be divided in two parts, 11687 and 874, that added together give a triangular number (12561 = T158).

The spelling of 11687874 in words is "eleven million, six hundred eighty-seven thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 947 1122 1894 2057 2841 4114 5682 6171 10417 12342 16099 20834 31251 32198 48297 62502 96594 114587 177089 229174 343761 354178 531267 687522 1062534 1947979 3895958 5843937 11687874