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116206416 = 24325231543
BaseRepresentation
bin1101110110100…
…10101101010000
322002122220020100
412323102231100
5214222101131
615310412400
72610511134
oct673225520
9262586210
10116206416
115a660667
1232b01100
131b0c92c1
141160d3c4
15a3067e6
hex6ed2b50

116206416 has 60 divisors (see below), whose sum is σ = 326049568. Its totient is φ = 38636352.

The previous prime is 116206411. The next prime is 116206421. The reversal of 116206416 is 614602611.

116206416 is a `hidden beast` number, since 1 + 16 + 2 + 0 + 641 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (116206411) and next prime (116206421).

It is a super-2 number, since 2×1162064162 = 27007862239130112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116206416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116206411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74541 + ... + 76083.

Almost surely, 2116206416 is an apocalyptic number.

116206416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116206416 is an abundant number, since it is smaller than the sum of its proper divisors (209843152).

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

116206416 is a wasteful number, since it uses less digits than its factorization.

116206416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 116206416 is about 10779.9079773438. The cubic root of 116206416 is about 487.9890036042.

The spelling of 116206416 in words is "one hundred sixteen million, two hundred six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 523 1046 1543 1569 2092 3086 3138 4184 4629 4707 6172 6276 8368 9258 9414 12344 12552 13887 18516 18828 24688 25104 27774 37032 37656 55548 74064 75312 111096 222192 806989 1613978 2420967 3227956 4841934 6455912 7262901 9683868 12911824 14525802 19367736 29051604 38735472 58103208 116206416