Search a number
-
+
10024301240 = 2352947918041
BaseRepresentation
bin10010101010111111…
…01011001010111000
3221212121111021011022
421111133223022320
5131012210114430
64334411322012
7503261104022
oct112537531270
927777437138
1010024301240
114284502988
121b39150308
13c39a485c5
146b148b012
153da0ad4e5
hex2557eb2b8

10024301240 has 64 divisors (see below), whose sum is σ = 23382432000. Its totient is φ = 3863157760.

The previous prime is 10024301233. The next prime is 10024301263. The reversal of 10024301240 is 4210342001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546620 + ... + 564660.

It is an arithmetic number, because the mean of its divisors is an integer number (365350500).

Almost surely, 210024301240 is an apocalyptic number.

10024301240 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 10024301240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11691216000).

10024301240 is an abundant number, since it is smaller than the sum of its proper divisors (13358130760).

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

10024301240 is a wasteful number, since it uses less digits than its factorization.

10024301240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18560 (or 18556 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10024301240 its reverse (4210342001), we get a palindrome (14234643241).

The spelling of 10024301240 in words is "ten billion, twenty-four million, three hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 479 580 958 1160 1916 2395 3832 4790 9580 13891 18041 19160 27782 36082 55564 69455 72164 90205 111128 138910 144328 180410 277820 360820 523189 555640 721640 1046378 2092756 2615945 4185512 5231890 8641639 10463780 17283278 20927560 34566556 43208195 69133112 86416390 172832780 250607531 345665560 501215062 1002430124 1253037655 2004860248 2506075310 5012150620 10024301240