Search a number
-
+
115007440 = 2458091777
BaseRepresentation
bin1101101101011…
…01111111010000
322000101222112211
412312231333100
5213420214230
615225001504
72564355442
oct666557720
9260358484
10115007440
1159a11879
1232623294
131aa99652
14113ba492
15a16b42a
hex6dadfd0

115007440 has 40 divisors (see below), whose sum is σ = 267873480. Its totient is φ = 45920256.

The previous prime is 115007411. The next prime is 115007441. The reversal of 115007440 is 44700511.

It can be written as a sum of positive squares in 4 ways, for example, as 30514576 + 84492864 = 5524^2 + 9192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1150074402 = 26453422510707200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115007441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63832 + ... + 65608.

It is an arithmetic number, because the mean of its divisors is an integer number (6696837).

Almost surely, 2115007440 is an apocalyptic number.

115007440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115007440 is an abundant number, since it is smaller than the sum of its proper divisors (152866040).

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

115007440 is a wasteful number, since it uses less digits than its factorization.

115007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 115007440 is about 10724.1521809419. The cubic root of 115007440 is about 486.3048999280.

Adding to 115007440 its reverse (44700511), we get a palindrome (159707951).

The spelling of 115007440 in words is "one hundred fifteen million, seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 809 1618 1777 3236 3554 4045 6472 7108 8090 8885 12944 14216 16180 17770 28432 32360 35540 64720 71080 142160 1437593 2875186 5750372 7187965 11500744 14375930 23001488 28751860 57503720 115007440