Search a number
-
+
10425420 = 22325173407
BaseRepresentation
bin100111110001…
…010001001100
3201121122222200
4213301101030
510132103140
61011241500
7154420545
oct47612114
921548880
1010425420
115980855
1235a9290
1322103b5
1415554cc
15dae030
hex9f144c

10425420 has 72 divisors (see below), whose sum is σ = 33493824. Its totient is φ = 2615808.

The previous prime is 10425409. The next prime is 10425461. The reversal of 10425420 is 2452401.

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 = 10425393 and 10425402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357 + ... + 4763.

It is an arithmetic number, because the mean of its divisors is an integer number (465192).

Almost surely, 210425420 is an apocalyptic number.

10425420 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 10425420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746912).

10425420 is an abundant number, since it is smaller than the sum of its proper divisors (23068404).

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

10425420 is a wasteful number, since it uses less digits than its factorization.

10425420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10425420 is about 3228.8418976469. The cubic root of 10425420 is about 218.4562729849.

Adding to 10425420 its reverse (2452401), we get a palindrome (12877821).

The spelling of 10425420 in words is "ten million, four hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 3407 6814 10221 13628 17035 20442 30663 34070 40884 51105 57919 61326 68140 102210 115838 122652 153315 173757 204420 231676 289595 306630 347514 521271 579190 613260 695028 868785 1042542 1158380 1737570 2085084 2606355 3475140 5212710 10425420