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1035240440 = 235139292143
BaseRepresentation
bin111101101101001…
…000001111111000
32200010222122220112
4331231020033320
54110010143230
6250420443452
734440253463
oct7555101770
92603878815
101035240440
11491403513
1224a849588
13136628510
149b6c22da
1560d42d95
hex3db483f8

1035240440 has 64 divisors (see below), whose sum is σ = 2512339200. Its totient is φ = 381652992.

The previous prime is 1035240439. The next prime is 1035240457. The reversal of 1035240440 is 440425301.

It is a super-2 number, since 2×10352404402 = 2143445537222787200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 482009 + ... + 484151.

It is an arithmetic number, because the mean of its divisors is an integer number (39255300).

Almost surely, 21035240440 is an apocalyptic number.

1035240440 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 1035240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256169600).

1035240440 is an abundant number, since it is smaller than the sum of its proper divisors (1477098760).

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

1035240440 is a wasteful number, since it uses less digits than its factorization.

1035240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 1035240440 is about 32175.1525248910. The cubic root of 1035240440 is about 1011.6114653625.

Adding to 1035240440 its reverse (440425301), we get a palindrome (1475665741).

The spelling of 1035240440 in words is "one billion, thirty-five million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 929 1858 2143 3716 4286 4645 7432 8572 9290 10715 12077 17144 18580 21430 24154 27859 37160 42860 48308 55718 60385 85720 96616 111436 120770 139295 222872 241540 278590 483080 557180 1114360 1990847 3981694 7963388 9954235 15926776 19908470 25881011 39816940 51762022 79633880 103524044 129405055 207048088 258810110 517620220 1035240440