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10425200 = 245267389
BaseRepresentation
bin100111110001…
…001101110000
3201121122200112
4213301031300
510132101300
61011240452
7154420112
oct47611560
921548615
1010425200
115980675
1235a9128
132210276
1415553b2
15dade35
hex9f1370

10425200 has 60 divisors (see below), whose sum is σ = 25485720. Its totient is φ = 4097280.

The previous prime is 10425197. The next prime is 10425229. The reversal of 10425200 is 252401.

10425200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26606 + ... + 26994.

It is an arithmetic number, because the mean of its divisors is an integer number (424762).

Almost surely, 210425200 is an apocalyptic number.

10425200 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 10425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12742860).

10425200 is an abundant number, since it is smaller than the sum of its proper divisors (15060520).

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

10425200 is a wasteful number, since it uses less digits than its factorization.

10425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 10425200 is about 3228.8078295247. The cubic root of 10425200 is about 218.4547363332.

Adding to 10425200 its reverse (252401), we get a palindrome (10677601).

The spelling of 10425200 in words is "ten million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 134 200 268 335 389 400 536 670 778 1072 1340 1556 1675 1945 2680 3112 3350 3890 5360 6224 6700 7780 9725 13400 15560 19450 26063 26800 31120 38900 52126 77800 104252 130315 155600 208504 260630 417008 521260 651575 1042520 1303150 2085040 2606300 5212600 10425200