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1015310140 = 22513311031223
BaseRepresentation
bin111100100001000…
…110011100111100
32121202111002200021
4330201012130330
54034404411030
6244425341524
734105664605
oct7441063474
92552432607
101015310140
11481130599
122440378a4
1313246aa40
1498bb4dac
155e20797a
hex3c84673c

1015310140 has 96 divisors (see below), whose sum is σ = 2395201536. Its totient is φ = 358974720.

The previous prime is 1015310119. The next prime is 1015310147. The reversal of 1015310140 is 410135101.

1015310140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1015310147) 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, 829569 + ... + 830791.

It is an arithmetic number, because the mean of its divisors is an integer number (24950016).

Almost surely, 21015310140 is an apocalyptic number.

1015310140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1015310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197600768).

1015310140 is an abundant number, since it is smaller than the sum of its proper divisors (1379891396).

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

1015310140 is a wasteful number, since it uses less digits than its factorization.

1015310140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1015310140 is about 31863.9316469264. The cubic root of 1015310140 is about 1005.0775548015.

Adding to 1015310140 its reverse (410135101), we get a palindrome (1425445241).

The spelling of 1015310140 in words is "one billion, fifteen million, three hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 103 124 130 155 206 260 310 403 412 515 620 806 1030 1223 1339 1612 2015 2060 2446 2678 3193 4030 4892 5356 6115 6386 6695 8060 12230 12772 13390 15899 15965 24460 26780 31798 31930 37913 41509 63596 63860 75826 79495 83018 125969 151652 158990 166036 189565 207545 251938 317980 379130 415090 492869 503876 629845 758260 830180 985738 1259690 1637597 1971476 2464345 2519380 3275194 3905039 4928690 6550388 7810078 8187985 9857380 15620156 16375970 19525195 32751940 39050390 50765507 78100780 101531014 203062028 253827535 507655070 1015310140