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9920250 = 232534409
BaseRepresentation
bin100101110101…
…111011111010
3200200000000200
4211311323322
510014422000
6552343030
7150215004
oct45657372
920600020
109920250
11566625a
1233a4a76
132094492
141463374
15d0e500
hex975efa

9920250 has 48 divisors (see below), whose sum is σ = 26830440. Its totient is φ = 2644800.

The previous prime is 9920249. The next prime is 9920257. The reversal of 9920250 is 520299.

It can be written as a sum of positive squares in 4 ways, for example, as 974169 + 8946081 = 987^2 + 2991^2 .

It is a super-2 number, since 2×99202502 = 196822720125000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9920257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46 + ... + 4454.

Almost surely, 29920250 is an apocalyptic number.

9920250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9920250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13415220).

9920250 is an abundant number, since it is smaller than the sum of its proper divisors (16910190).

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

9920250 is a wasteful number, since it uses less digits than its factorization.

9920250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9920250 is about 3149.6428368944. The cubic root of 9920250 is about 214.8692191844.

The spelling of 9920250 in words is "nine million, nine hundred twenty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 1125 2250 4409 8818 13227 22045 26454 39681 44090 66135 79362 110225 132270 198405 220450 330675 396810 551125 661350 992025 1102250 1653375 1984050 3306750 4960125 9920250