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10263420 = 22325193001
BaseRepresentation
bin100111001001…
…101101111100
3201022102202200
4213021231330
510111412140
61003551500
7153144336
oct47115574
921272680
1010263420
115880072
12352b590
13218473b
141512456
15d7b030
hex9c9b7c

10263420 has 72 divisors (see below), whose sum is σ = 32781840. Its totient is φ = 2592000.

The previous prime is 10263413. The next prime is 10263479. The reversal of 10263420 is 2436201.

It is a happy number.

10263420 is a `hidden beast` number, since 10 + 2 + 634 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10263393 and 10263402.

It is a congruent number.

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, 1920 + ... + 4920.

Almost surely, 210263420 is an apocalyptic number.

10263420 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 10263420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390920).

10263420 is an abundant number, since it is smaller than the sum of its proper divisors (22518420).

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

10263420 is a wasteful number, since it uses less digits than its factorization.

10263420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10263420 is about 3203.6572850416. The cubic root of 10263420 is about 217.3188344759.

Adding to 10263420 its reverse (2436201), we get a palindrome (12699621).

The spelling of 10263420 in words is "ten million, two hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3001 3420 6002 9003 12004 15005 18006 27009 30010 36012 45015 54018 57019 60020 90030 108036 114038 135045 171057 180060 228076 270090 285095 342114 513171 540180 570190 684228 855285 1026342 1140380 1710570 2052684 2565855 3421140 5131710 10263420