Search a number
-
+
10707004224 = 26337885169
BaseRepresentation
bin10011111100010111…
…11110101101000000
31000122012010011121000
421332023332231000
5133411443113344
64530240132000
7526221014520
oct117613765500
930565104530
1010707004224
1145a4908824
1220a9907000
13101830c977
14738001680
15429eb5a69
hex27e2feb40

10707004224 has 112 divisors (see below), whose sum is σ = 35973308800. Its totient is φ = 3059140608.

The previous prime is 10707004219. The next prime is 10707004237. The reversal of 10707004224 is 42240070701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×107070042242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 430489 + ... + 454680.

Almost surely, 210707004224 is an apocalyptic number.

10707004224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10707004224 is an abundant number, since it is smaller than the sum of its proper divisors (25266304576).

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

10707004224 is an equidigital number, since it uses as much as digits as its factorization.

10707004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885197 (or 885181 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Adding to 10707004224 its reverse (42240070701), we get a palindrome (52947074925).

The spelling of 10707004224 in words is "ten billion, seven hundred seven million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 885169 1770338 2655507 3540676 5311014 6196183 7081352 7966521 10622028 12392366 14162704 15933042 18588549 21244056 23899563 24784732 28325408 31866084 37177098 42488112 47799126 49569464 55765647 56650816 63732168 74354196 84976224 95598252 99138928 111531294 127464336 148708392 167296941 169952448 191196504 198277856 223062588 254928672 297416784 334593882 382393008 396555712 446125176 509857344 594833568 669187764 764786016 892250352 1189667136 1338375528 1529572032 1784500704 2676751056 3569001408 5353502112 10707004224