Search a number
-
+
10024111240 = 23511131752467
BaseRepresentation
bin10010101010111101…
…11100110010001000
3221212121010121112021
421111132330302020
5131012133024430
64334403254224
7503256353053
oct112536746210
927777117467
1010024111240
114284393160
121b3907a374
13c399acc90
146b143ba9a
153da07207a
hex2557bcc88

10024111240 has 64 divisors (see below), whose sum is σ = 26497316160. Its totient is φ = 3364734720.

The previous prime is 10024111231. The next prime is 10024111247. The reversal of 10024111240 is 4211142001.

It is a happy number.

10024111240 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 (10024111247) by changing a digit.

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, 870514 + ... + 881953.

It is an arithmetic number, because the mean of its divisors is an integer number (414020565).

Almost surely, 210024111240 is an apocalyptic number.

10024111240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024111240 is an abundant number, since it is smaller than the sum of its proper divisors (16473204920).

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

10024111240 is a wasteful number, since it uses less digits than its factorization.

10024111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752502 (or 1752498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10024111240 its reverse (4211142001), we get a palindrome (14235253241).

The spelling of 10024111240 in words is "ten billion, twenty-four million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 1752467 3504934 7009868 8762335 14019736 17524670 19277137 22782071 35049340 38554274 45564142 70098680 77108548 91128284 96385685 113910355 154217096 182256568 192771370 227820710 250602781 385542740 455641420 501205562 771085480 911282840 1002411124 1253013905 2004822248 2506027810 5012055620 10024111240