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1017103040 = 2657094483
BaseRepresentation
bin111100100111111…
…100001011000000
32121212212012001222
4330213330023000
54040334244130
6244532014212
734130142662
oct7447741300
92555765058
101017103040
11482145628
12244761368
13132947b25
1499120532
155e45dce5
hex3c9fc2c0

1017103040 has 56 divisors (see below), whose sum is σ = 2425933680. Its totient is φ = 406176768.

The previous prime is 1017103039. The next prime is 1017103049. The reversal of 1017103040 is 403017101.

1017103040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1017103049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224639 + ... + 229121.

Almost surely, 21017103040 is an apocalyptic number.

1017103040 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 1017103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212966840).

1017103040 is an abundant number, since it is smaller than the sum of its proper divisors (1408830640).

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

1017103040 is an equidigital number, since it uses as much as digits as its factorization.

1017103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1017103040 is about 31892.0529285902. The cubic root of 1017103040 is about 1005.6688171224.

The spelling of 1017103040 in words is "one billion, seventeen million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 709 1418 2836 3545 4483 5672 7090 8966 11344 14180 17932 22415 22688 28360 35864 44830 45376 56720 71728 89660 113440 143456 179320 226880 286912 358640 717280 1434560 3178447 6356894 12713788 15892235 25427576 31784470 50855152 63568940 101710304 127137880 203420608 254275760 508551520 1017103040