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10425680 = 245194
BaseRepresentation
bin100111110001…
…010101010000
3201121200100022
4213301111100
510132110210
61011243012
7154421366
oct47612520
921550308
1010425680
115980a71
1235a9468
132210555
141555636
15dae155
hex9f1550

10425680 has 50 divisors (see below), whose sum is σ = 25586346. Its totient is φ = 3950784.

The previous prime is 10425673. The next prime is 10425689. The reversal of 10425680 is 8652401.

It can be written as a sum of positive squares in only one way, i.e., 8340544 + 2085136 = 2888^2 + 1444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10425689) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 548711 + ... + 548729.

Almost surely, 210425680 is an apocalyptic number.

10425680 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 10425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12793173).

10425680 is an abundant number, since it is smaller than the sum of its proper divisors (15160666).

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

10425680 is an frugal number, since it uses more digits than its factorization.

10425680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 10425680 is about 3228.8821595097. The cubic root of 10425680 is about 218.4580889999.

The spelling of 10425680 in words is "ten million, four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 361 380 722 760 1444 1520 1805 2888 3610 5776 6859 7220 13718 14440 27436 28880 34295 54872 68590 109744 130321 137180 260642 274360 521284 548720 651605 1042568 1303210 2085136 2606420 5212840 10425680