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1025103680 = 2657145119
BaseRepresentation
bin111101000110011…
…101011101000000
32122102220122212222
4331012131131000
54044411304210
6245415310212
734255144316
oct7506353500
92572818788
101025103680
1148670a627
1224737b368
131344b9633
149a2040b6
155eede655
hex3d19d740

1025103680 has 56 divisors (see below), whose sum is σ = 2475463680. Its totient is φ = 404257280.

The previous prime is 1025103679. The next prime is 1025103683. The reversal of 1025103680 is 863015201.

1025103680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10251036803 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025103683) 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, 161 + ... + 45279.

Almost surely, 21025103680 is an apocalyptic number.

1025103680 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 1025103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237731840).

1025103680 is an abundant number, since it is smaller than the sum of its proper divisors (1450360000).

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

1025103680 is an equidigital number, since it uses as much as digits as its factorization.

1025103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45207 (or 45197 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1025103680 is about 32017.2403557833. The cubic root of 1025103680 is about 1008.2988322022.

Adding to 1025103680 its reverse (863015201), we get a palindrome (1888118881).

The spelling of 1025103680 in words is "one billion, twenty-five million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 5680 11360 22720 45119 90238 180476 225595 360952 451190 721904 902380 1443808 1804760 2887616 3203449 3609520 6406898 7219040 12813796 14438080 16017245 25627592 32034490 51255184 64068980 102510368 128137960 205020736 256275920 512551840 1025103680