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115065450 = 232522411061
BaseRepresentation
bin1101101101111…
…00001001101010
322000111221010100
412312330021222
5213424043300
615230130230
72565016533
oct666741152
9260457110
10115065450
1159a51415
1232650976
131aab9b86
14113d368a
15a17d700
hex6dbc26a

115065450 has 72 divisors (see below), whose sum is σ = 310717836. Its totient is φ = 30528000.

The previous prime is 115065443. The next prime is 115065479. The reversal of 115065450 is 54560511.

It is a happy number.

115065450 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 654 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 65658609 + 49406841 = 8103^2 + 7029^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107920 + ... + 108980.

Almost surely, 2115065450 is an apocalyptic number.

115065450 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 115065450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155358918).

115065450 is an abundant number, since it is smaller than the sum of its proper divisors (195652386).

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

115065450 is a wasteful number, since it uses less digits than its factorization.

115065450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 115065450 is about 10726.8564826794. The cubic root of 115065450 is about 486.3866505968.

The spelling of 115065450 in words is "one hundred fifteen million, sixty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 241 450 482 723 1061 1205 1446 2122 2169 2410 3183 3615 4338 5305 6025 6366 7230 9549 10610 10845 12050 15915 18075 19098 21690 26525 31830 36150 47745 53050 54225 79575 95490 108450 159150 238725 255701 477450 511402 767103 1278505 1534206 2301309 2557010 3835515 4602618 6392525 7671030 11506545 12785050 19177575 23013090 38355150 57532725 115065450