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10424024430 = 2353789105517
BaseRepresentation
bin10011011010101000…
…11111110101101110
3222220110122022021220
421231110133311232
5132322022240210
64442211004210
7516213513531
oct115524376556
928813568256
1010424024430
11446a0a9926
12202ab99666
13ca17c0bc1
1470c5bca18
15410219c70
hex26d51fd6e

10424024430 has 64 divisors (see below), whose sum is σ = 25982752320. Its totient is φ = 2674197504.

The previous prime is 10424024363. The next prime is 10424024441. The reversal of 10424024430 is 3442042401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10424024430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46032 + ... + 151548.

It is an arithmetic number, because the mean of its divisors is an integer number (405980505).

Almost surely, 210424024430 is an apocalyptic number.

10424024430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424024430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12991376160).

10424024430 is an abundant number, since it is smaller than the sum of its proper divisors (15558727890).

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

10424024430 is a wasteful number, since it uses less digits than its factorization.

10424024430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105653.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10424024430 its reverse (3442042401), we get a palindrome (13866066831).

The spelling of 10424024430 in words is "ten billion, four hundred twenty-four million, twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 89 111 178 185 222 267 370 445 534 555 890 1110 1335 2670 3293 6586 9879 16465 19758 32930 49395 98790 105517 211034 316551 527585 633102 1055170 1582755 3165510 3904129 7808258 9391013 11712387 18782026 19520645 23424774 28173039 39041290 46955065 56346078 58561935 93910130 117123870 140865195 281730390 347467481 694934962 1042402443 1737337405 2084804886 3474674810 5212012215 10424024430