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115458090 = 235111811933
BaseRepresentation
bin1101110000111…
…00000000101010
322001020212201120
412320130000222
5214024124330
615242400110
72601243336
oct670340052
9261225646
10115458090
115a19a410
1232800036
131abc67c7
14114967c6
15a209c10
hex6e1c02a

115458090 has 64 divisors (see below), whose sum is σ = 304117632. Its totient is φ = 27820800.

The previous prime is 115458037. The next prime is 115458097. The reversal of 115458090 is 90854511.

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

It is not an unprimeable number, because it can be changed into a prime (115458097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58764 + ... + 60696.

It is an arithmetic number, because the mean of its divisors is an integer number (4751838).

Almost surely, 2115458090 is an apocalyptic number.

115458090 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 115458090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152058816).

115458090 is an abundant number, since it is smaller than the sum of its proper divisors (188659542).

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

115458090 is a wasteful number, since it uses less digits than its factorization.

115458090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135.

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 115458090 is about 10745.1426235299. The cubic root of 115458090 is about 486.9392579549.

The spelling of 115458090 in words is "one hundred fifteen million, four hundred fifty-eight thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 181 330 362 543 905 1086 1810 1933 1991 2715 3866 3982 5430 5799 5973 9665 9955 11598 11946 19330 19910 21263 28995 29865 42526 57990 59730 63789 106315 127578 212630 318945 349873 637890 699746 1049619 1749365 2099238 3498730 3848603 5248095 7697206 10496190 11545809 19243015 23091618 38486030 57729045 115458090