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116349090 = 235111337733
BaseRepresentation
bin1101110111101…
…01100010100010
322002221010221120
412323311202202
5214241132330
615313433110
72611644114
oct673654242
9262833846
10116349090
115a748880
1232b6b796
131b149220
14116493b4
15a333c10
hex6ef58a2

116349090 has 128 divisors (see below), whose sum is σ = 337381632. Its totient is φ = 25297920.

The previous prime is 116349061. The next prime is 116349119. The reversal of 116349090 is 90943611.

It is an interprime number because it is at equal distance from previous prime (116349061) and next prime (116349119).

It is a super-2 number, since 2×1163490902 = 27074221487656200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 158364 + ... + 159096.

It is an arithmetic number, because the mean of its divisors is an integer number (2635794).

Almost surely, 2116349090 is an apocalyptic number.

116349090 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 116349090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168690816).

116349090 is an abundant number, since it is smaller than the sum of its proper divisors (221032542).

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

116349090 is a wasteful number, since it uses less digits than its factorization.

116349090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804.

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 116349090 is about 10786.5235363392. The cubic root of 116349090 is about 488.1886336282.

The spelling of 116349090 in words is "one hundred sixteen million, three hundred forty-nine thousand, ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 37 39 55 65 66 74 78 110 111 130 143 165 185 195 222 286 330 370 390 407 429 481 555 715 733 814 858 962 1110 1221 1430 1443 1466 2035 2145 2199 2405 2442 2886 3665 4070 4290 4398 4810 5291 6105 7215 7330 8063 9529 10582 10995 12210 14430 15873 16126 19058 21990 24189 26455 27121 28587 31746 40315 47645 48378 52910 54242 57174 79365 80630 81363 95290 104819 120945 135605 142935 158730 162726 209638 241890 271210 285870 298331 314457 352573 406815 524095 596662 628914 705146 813630 894993 1048190 1057719 1491655 1572285 1762865 1789986 2115438 2983310 3144570 3525730 3878303 4474965 5288595 7756606 8949930 10577190 11634909 19391515 23269818 38783030 58174545 116349090