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116261190 = 233519131173
BaseRepresentation
bin1101110111000…
…00000101000110
322002202200101000
412323200011012
5214230324230
615311514130
72611126623
oct673400506
9262680330
10116261190
115a698831
1232b28946
131b118206
141162534a
15a317b60
hex6ee0146

116261190 has 128 divisors (see below), whose sum is σ = 330739200. Its totient is φ = 28978560.

The previous prime is 116261179. The next prime is 116261213. The reversal of 116261190 is 91162611.

It is a super-2 number, since 2×1162611902 = 27033328600432200, 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 63 ways as a sum of consecutive naturals, for example, 671944 + ... + 672116.

It is an arithmetic number, because the mean of its divisors is an integer number (2583900).

Almost surely, 2116261190 is an apocalyptic number.

116261190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116261190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165369600).

116261190 is an abundant number, since it is smaller than the sum of its proper divisors (214478010).

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

116261190 is a wasteful number, since it uses less digits than its factorization.

116261190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 116261190 is about 10782.4482377612. The cubic root of 116261190 is about 488.0656629147.

The spelling of 116261190 in words is "one hundred sixteen million, two hundred sixty-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 131 135 171 173 190 262 270 285 342 346 393 513 519 570 655 786 855 865 1026 1038 1179 1310 1557 1710 1730 1965 2358 2489 2565 2595 3114 3287 3537 3930 4671 4978 5130 5190 5895 6574 7074 7467 7785 9342 9861 11790 12445 14934 15570 16435 17685 19722 22401 22663 23355 24890 29583 32870 35370 37335 44802 45326 46710 49305 59166 67203 67989 74670 88749 98610 112005 113315 134406 135978 147915 177498 203967 224010 226630 295830 336015 339945 407934 430597 443745 611901 672030 679890 861194 887490 1019835 1223802 1291791 2039670 2152985 2583582 3059505 3875373 4305970 6119010 6458955 7750746 11626119 12917910 19376865 23252238 38753730 58130595 116261190