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90013110 = 235112137181
BaseRepresentation
bin1010101110101…
…11110110110110
320021101010202220
411113113312312
5141020404420
612533143210
72142045615
oct527276666
9207333686
1090013110
11468a0200
122618ab06
1315857bc5
14bd5187c
157d80840
hex55d7db6

90013110 has 96 divisors (see below), whose sum is σ = 240510816. Its totient is φ = 21542400.

The previous prime is 90013103. The next prime is 90013117. The reversal of 90013110 is 1131009.

It is an interprime number because it is at equal distance from previous prime (90013103) and next prime (90013117).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 90013110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90013117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497220 + ... + 497400.

It is an arithmetic number, because the mean of its divisors is an integer number (2505321).

Almost surely, 290013110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90013110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120255408).

90013110 is an abundant number, since it is smaller than the sum of its proper divisors (150497706).

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

90013110 is a wasteful number, since it uses less digits than its factorization.

90013110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 90013110 is about 9487.5239130133. The cubic root of 90013110 is about 448.1622333090.

Adding to 90013110 its reverse (1131009), we get a palindrome (91144119).

The spelling of 90013110 in words is "ninety million, thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 137 165 181 242 274 330 362 363 411 543 605 685 726 822 905 1086 1210 1370 1507 1810 1815 1991 2055 2715 3014 3630 3982 4110 4521 5430 5973 7535 9042 9955 11946 15070 16577 19910 21901 22605 24797 29865 33154 43802 45210 49594 49731 59730 65703 74391 82885 99462 109505 123985 131406 148782 165770 219010 247970 248655 272767 328515 371955 497310 545534 657030 743910 818301 1363835 1636602 2727670 3000437 4091505 6000874 8183010 9001311 15002185 18002622 30004370 45006555 90013110