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1034013520 = 24512925169
BaseRepresentation
bin111101101000011…
…100101101010000
32200001200022220001
4331220130231100
54104201413040
6250334255344
734423653451
oct7550345520
92601608801
101034013520
11490745731
1224a357554
131362b8c27
149b483128
1560b9e59a
hex3da1cb50

1034013520 has 20 divisors (see below), whose sum is σ = 2404081620. Its totient is φ = 413605376.

The previous prime is 1034013509. The next prime is 1034013557. The reversal of 1034013520 is 253104301.

1034013520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 370023696 + 663989824 = 19236^2 + 25768^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6462505 + ... + 6462664.

It is an arithmetic number, because the mean of its divisors is an integer number (120204081).

Almost surely, 21034013520 is an apocalyptic number.

1034013520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034013520 is an abundant number, since it is smaller than the sum of its proper divisors (1370068100).

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

1034013520 is a wasteful number, since it uses less digits than its factorization.

1034013520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12925182 (or 12925176 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1034013520 is about 32156.0806069396. The cubic root of 1034013520 is about 1011.2116687102.

Adding to 1034013520 its reverse (253104301), we get a palindrome (1287117821).

The spelling of 1034013520 in words is "one billion, thirty-four million, thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12925169 25850338 51700676 64625845 103401352 129251690 206802704 258503380 517006760 1034013520