Search a number
-
+
116380476 = 2236107373
BaseRepresentation
bin1101110111111…
…01001100111100
322002222202000000
412323331030330
5214243133401
615314234300
72612134452
oct673751474
9262882000
10116380476
115a76a413
1232b85990
131b15a5b4
14116569d2
15a33d186
hex6efd33c

116380476 has 84 divisors (see below), whose sum is σ = 309039192. Its totient is φ = 38327904.

The previous prime is 116380457. The next prime is 116380477. The reversal of 116380476 is 674083611.

116380476 is a `hidden beast` number, since 11 + 638 + 0 + 4 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 116380476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116380477) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 311826 + ... + 312198.

It is an arithmetic number, because the mean of its divisors is an integer number (3679038).

Almost surely, 2116380476 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 116380476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154519596).

116380476 is an abundant number, since it is smaller than the sum of its proper divisors (192658716).

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

116380476 is a wasteful number, since it uses less digits than its factorization.

116380476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 116380476 is about 10787.9783092107. The cubic root of 116380476 is about 488.2325271413.

The spelling of 116380476 in words is "one hundred sixteen million, three hundred eighty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 373 428 486 642 729 746 963 972 1119 1284 1458 1492 1926 2238 2889 2916 3357 3852 4476 5778 6714 8667 10071 11556 13428 17334 20142 26001 30213 34668 39911 40284 52002 60426 78003 79822 90639 104004 119733 120852 156006 159644 181278 239466 271917 312012 359199 362556 478932 543834 718398 1077597 1087668 1436796 2155194 3232791 4310388 6465582 9698373 12931164 19396746 29095119 38793492 58190238 116380476