Search a number
-
+
1040240310 = 235195873109
BaseRepresentation
bin111110000000001…
…100111010110110
32200111101200102220
4332000030322312
54112300142220
6251115543210
734530616404
oct7600147266
92614350386
101040240310
11494208a3a
1225045ab06
13137689215
149c224474
15614ce540
hex3e00ceb6

1040240310 has 64 divisors (see below), whose sum is σ = 2633299200. Its totient is φ = 262265472.

The previous prime is 1040240303. The next prime is 1040240317. The reversal of 1040240310 is 130420401.

1040240310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1040240303) and next prime (1040240317).

It is a super-2 number, since 2×10402403102 = 2164199805097792200, which contains 22 as substring.

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 1040240310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040240317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333036 + ... + 336144.

It is an arithmetic number, because the mean of its divisors is an integer number (41145300).

Almost surely, 21040240310 is an apocalyptic number.

1040240310 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 1040240310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316649600).

1040240310 is an abundant number, since it is smaller than the sum of its proper divisors (1593058890).

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

1040240310 is a wasteful number, since it uses less digits than its factorization.

1040240310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1040240310 is about 32252.7566263723. The cubic root of 1040240310 is about 1013.2374338157.

Adding to 1040240310 its reverse (130420401), we get a palindrome (1170660711).

The spelling of 1040240310 in words is "one billion, forty million, two hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 587 1174 1761 2935 3109 3522 5870 6218 8805 9327 11153 15545 17610 18654 22306 31090 33459 46635 55765 59071 66918 93270 111530 118142 167295 177213 295355 334590 354426 590710 886065 1772130 1824983 3649966 5474949 9124915 10949898 18249830 27374745 34674677 54749490 69349354 104024031 173373385 208048062 346746770 520120155 1040240310