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116506404 = 22337198111
BaseRepresentation
bin1101111000110…
…11111100100100
322010020010202000
412330123330210
5214311201104
615321045300
72613200550
oct674337444
9263203660
10116506404
115a845a93
1233026830
131b1a2a01
141168a860
15a365639
hex6f1bf24

116506404 has 96 divisors (see below), whose sum is σ = 363417600. Its totient is φ = 31531680.

The previous prime is 116506387. The next prime is 116506417. The reversal of 116506404 is 404605611.

116506404 is a `hidden beast` number, since 1 + 1 + 650 + 6 + 4 + 0 + 4 = 666.

It is a super-2 number, since 2×1165064042 = 27147484346022432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10309 + ... + 18419.

It is an arithmetic number, because the mean of its divisors is an integer number (3785600).

Almost surely, 2116506404 is an apocalyptic number.

116506404 is a gapful number since it is divisible by the number (14) 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 116506404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181708800).

116506404 is an abundant number, since it is smaller than the sum of its proper divisors (246911196).

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

116506404 is a wasteful number, since it uses less digits than its factorization.

116506404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8150 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 116506404 is about 10793.8132279561. The cubic root of 116506404 is about 488.4085589116.

The spelling of 116506404 in words is "one hundred sixteen million, five hundred six thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 8111 14364 16222 24333 32444 48666 56777 72999 97332 113554 145998 154109 170331 218997 227108 291996 308218 340662 437994 462327 510993 616436 681324 875988 924654 1021986 1078763 1386981 1532979 1849308 2043972 2157526 2773962 3065958 3236289 4160943 4315052 5547924 6131916 6472578 8321886 9708867 12945156 16643772 19417734 29126601 38835468 58253202 116506404