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10024301420 = 2257210795597
BaseRepresentation
bin10010101010111111…
…01011001101101100
3221212121111021101222
421111133223031230
5131012210121140
64334411322512
7503261104400
oct112537531554
927777437358
1010024301420
114284503031
121b39150438
13c39a48703
146b148b100
153da0ad5b5
hex2557eb36c

10024301420 has 72 divisors (see below), whose sum is σ = 24717054096. Its totient is φ = 3404747136.

The previous prime is 10024301411. The next prime is 10024301473. The reversal of 10024301420 is 2410342001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57062 + ... + 152658.

It is an arithmetic number, because the mean of its divisors is an integer number (343292418).

Almost surely, 210024301420 is an apocalyptic number.

10024301420 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 10024301420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12358527048).

10024301420 is an abundant number, since it is smaller than the sum of its proper divisors (14692752676).

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

10024301420 is a wasteful number, since it uses less digits than its factorization.

10024301420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95727 (or 95718 counting only the distinct ones).

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

Adding to 10024301420 its reverse (2410342001), we get a palindrome (12434643421).

The spelling of 10024301420 in words is "ten billion, twenty-four million, three hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 107 140 196 214 245 428 490 535 749 980 1070 1498 2140 2996 3745 5243 7490 10486 14980 20972 26215 52430 95597 104860 191194 382388 477985 669179 955970 1338358 1911940 2676716 3345895 4684253 6691790 9368506 10228879 13383580 18737012 20457758 23421265 40915516 46842530 51144395 71602153 93685060 102288790 143204306 204577580 286408612 358010765 501215071 716021530 1002430142 1432043060 2004860284 2506075355 5012150710 10024301420