Search a number
-
+
116311840 = 2554715467
BaseRepresentation
bin1101110111011…
…00011100100000
322002212020211221
412323230130200
5214233434330
615312544424
72611430401
oct673543440
9262766757
10116311840
115a722897
1232b52114
131b135298
14116399a8
15a327b7a
hex6eec720

116311840 has 48 divisors (see below), whose sum is σ = 280651392. Its totient is φ = 45531904.

The previous prime is 116311813. The next prime is 116311913. The reversal of 116311840 is 48113611.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 15253.

It is an arithmetic number, because the mean of its divisors is an integer number (5846904).

Almost surely, 2116311840 is an apocalyptic number.

116311840 is a gapful number since it is divisible by the number (10) 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 116311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140325696).

116311840 is an abundant number, since it is smaller than the sum of its proper divisors (164339552).

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

116311840 is a wasteful number, since it uses less digits than its factorization.

116311840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15529 (or 15521 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 116311840 is about 10784.7967064753. The cubic root of 116311840 is about 488.1365290304.

The spelling of 116311840 in words is "one hundred sixteen million, three hundred eleven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 7520 15467 30934 61868 77335 123736 154670 247472 309340 494944 618680 726949 1237360 1453898 2474720 2907796 3634745 5815592 7269490 11631184 14538980 23262368 29077960 58155920 116311840