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10280352 = 253173619
BaseRepresentation
bin100111001101…
…110110100000
3201100021222210
4213031312200
510112432402
61004202120
7153244605
oct47156640
921307883
1010280352
115891865
123539340
13218c364
1415186ac
15d8106c
hex9cdda0

10280352 has 48 divisors (see below), whose sum is σ = 27185760. Its totient is φ = 3401472.

The previous prime is 10280341. The next prime is 10280363. The reversal of 10280352 is 25308201.

10280352 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10280341) and next prime (10280363).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16299 + ... + 16917.

It is an arithmetic number, because the mean of its divisors is an integer number (566370).

Almost surely, 210280352 is an apocalyptic number.

10280352 is a gapful number since it is divisible by the number (12) 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 10280352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592880).

10280352 is an abundant number, since it is smaller than the sum of its proper divisors (16905408).

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

10280352 is a wasteful number, since it uses less digits than its factorization.

10280352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10280352 is about 3206.2988007982. The cubic root of 10280352 is about 217.4382755222.

Adding to 10280352 its reverse (25308201), we get a palindrome (35588553).

The spelling of 10280352 in words is "ten million, two hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 619 692 1038 1238 1384 1857 2076 2476 2768 3714 4152 4952 5536 7428 8304 9904 14856 16608 19808 29712 59424 107087 214174 321261 428348 642522 856696 1285044 1713392 2570088 3426784 5140176 10280352