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9880020 = 22325131419
BaseRepresentation
bin100101101100…
…000111010100
3200120221211200
4211230013110
510012130040
6551432500
7146656503
oct45540724
920527750
109880020
115639007
123385730
13207c087
14145283a
15d02630
hex96c1d4

9880020 has 72 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 2608320.

The previous prime is 9880001. The next prime is 9880027. The reversal of 9880020 is 200889.

It is a super-2 number, since 2×98800202 = 195229590400800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9880027) 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, 23371 + ... + 23789.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 29880020 is an apocalyptic number.

9880020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9880020 is the 1572-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9880020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

9880020 is an abundant number, since it is smaller than the sum of its proper divisors (20390220).

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

9880020 is a wasteful number, since it uses less digits than its factorization.

9880020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9880020 is about 3143.2499105225. The cubic root of 9880020 is about 214.5783696551.

The spelling of 9880020 in words is "nine million, eight hundred eighty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 419 524 655 786 838 1179 1257 1310 1572 1676 1965 2095 2358 2514 2620 3771 3930 4190 4716 5028 5895 6285 7542 7860 8380 11790 12570 15084 18855 23580 25140 37710 54889 75420 109778 164667 219556 274445 329334 494001 548890 658668 823335 988002 1097780 1646670 1976004 2470005 3293340 4940010 9880020