Search a number
-
+
10420023776 = 2519232832633
BaseRepresentation
bin10011011010001010…
…01111000111100000
3222220012010001102112
421231011033013200
5132320011230101
64441545134452
7516134512031
oct115505170740
928805101375
1010420023776
1144679170a8
12202978a428
13ca0a1cc56
1470bc5aa88
1540ebc96bb
hex26d14f1e0

10420023776 has 96 divisors (see below), whose sum is σ = 22621213440. Its totient is φ = 4702731264.

The previous prime is 10420023773. The next prime is 10420023797. The reversal of 10420023776 is 67732002401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420023773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3956156 + ... + 3958788.

It is an arithmetic number, because the mean of its divisors is an integer number (235637640).

Almost surely, 210420023776 is an apocalyptic number.

10420023776 is a gapful number since it is divisible by the number (16) 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 10420023776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11310606720).

10420023776 is an abundant number, since it is smaller than the sum of its proper divisors (12201189664).

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

10420023776 is a wasteful number, since it uses less digits than its factorization.

10420023776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 10420023776 in words is "ten billion, four hundred twenty million, twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 283 304 368 437 566 608 736 874 1132 1748 2264 2633 3496 4528 5266 5377 6509 6992 9056 10532 10754 13018 13984 21064 21508 26036 42128 43016 50027 52072 60559 84256 86032 100054 104144 121118 123671 172064 200108 208288 242236 247342 400216 484472 494684 745139 800432 968944 989368 1150621 1490278 1600864 1937888 1978736 2301242 2980556 3957472 4602484 5961112 9204968 11922224 14157641 17138197 18409936 23844448 28315282 34276394 36819872 56630564 68552788 113261128 137105576 226522256 274211152 325625743 453044512 548422304 651251486 1302502972 2605005944 5210011888 10420023776