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9898920 = 2332531887
BaseRepresentation
bin100101110000…
…101110101000
3200121220202200
4211300232220
510013231140
6552100200
7150065553
oct45605650
920556680
109898920
115651229
123394660
132087865
14145969a
15d08030
hex970ba8

9898920 has 96 divisors (see below), whose sum is σ = 33246720. Its totient is φ = 2551680.

The previous prime is 9898907. The next prime is 9898921. The reversal of 9898920 is 298989.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9898921) 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 23 ways as a sum of consecutive naturals, for example, 10717 + ... + 11603.

It is an arithmetic number, because the mean of its divisors is an integer number (346320).

Almost surely, 29898920 is an apocalyptic number.

9898920 is a gapful number since it is divisible by the number (90) 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 9898920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623360).

9898920 is an abundant number, since it is smaller than the sum of its proper divisors (23347800).

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

9898920 is a wasteful number, since it uses less digits than its factorization.

9898920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9898920 is about 3146.2549165635. The cubic root of 9898920 is about 214.7151085119.

The spelling of 9898920 in words is "nine million, eight hundred ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 887 930 1116 1240 1395 1774 1860 2232 2661 2790 3548 3720 4435 5322 5580 7096 7983 8870 10644 11160 13305 15966 17740 21288 26610 27497 31932 35480 39915 53220 54994 63864 79830 82491 106440 109988 137485 159660 164982 219976 247473 274970 319320 329964 412455 494946 549940 659928 824910 989892 1099880 1237365 1649820 1979784 2474730 3299640 4949460 9898920