Search a number
-
+
1010245504 = 2719221863
BaseRepresentation
bin111100001101110…
…001111110000000
32121101221210022011
4330031301332000
54032110324004
6244125022304
734014642112
oct7415617600
92541853264
101010245504
11479291444
122423b4994
131313b6708
14982573b2
155da57004
hex3c371f80

1010245504 has 48 divisors (see below), whose sum is σ = 2124196920. Its totient is φ = 478515456.

The previous prime is 1010245501. The next prime is 1010245507. The reversal of 1010245504 is 4055420101.

1010245504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010245501) and next prime (1010245507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010245501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35277 + ... + 57139.

Almost surely, 21010245504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062098460).

1010245504 is an abundant number, since it is smaller than the sum of its proper divisors (1113951416).

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

1010245504 is an equidigital number, since it uses as much as digits as its factorization.

1010245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21915 (or 21884 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1010245504 is about 31784.3594240941. The cubic root of 1010245504 is about 1003.4035705648.

Adding to 1010245504 its reverse (4055420101), we get a palindrome (5065665605).

The spelling of 1010245504 in words is "one billion, ten million, two hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 722 1216 1444 2432 2888 5776 11552 21863 23104 43726 46208 87452 174904 349808 415397 699616 830794 1399232 1661588 2798464 3323176 6646352 7892543 13292704 15785086 26585408 31570172 53170816 63140344 126280688 252561376 505122752 1010245504