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9982500 = 22354113
BaseRepresentation
bin100110000101…
…001000100100
3200210011102020
4212011020210
510023420000
6553543140
7150564333
oct46051044
920704366
109982500
1156a9000
123414ab0
1320b6908
14147bd1a
15d22ba0
hex985224

9982500 has 120 divisors (see below), whose sum is σ = 32014752. Its totient is φ = 2420000.

The previous prime is 9982499. The next prime is 9982513. The reversal of 9982500 is 52899.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 275 × 165 × 220.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 907495 + ... + 907505.

Almost surely, 29982500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9982500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16007376).

9982500 is an abundant number, since it is smaller than the sum of its proper divisors (22032252).

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

9982500 is a wasteful number, since it uses less digits than its factorization.

9982500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 9982500 is about 3159.5094555959. The cubic root of 9982500 is about 215.3177202643.

Multiplying 9982500 by its sum of digits (33), we get a square (329422500 = 181502).

9982500 divided by its sum of digits (33) gives a square (302500 = 5502).

The spelling of 9982500 in words is "nine million, nine hundred eighty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 125 132 150 165 220 242 250 275 300 330 363 375 484 500 550 605 625 660 726 750 825 1100 1210 1250 1331 1375 1452 1500 1650 1815 1875 2420 2500 2662 2750 3025 3300 3630 3750 3993 4125 5324 5500 6050 6655 6875 7260 7500 7986 8250 9075 12100 13310 13750 15125 15972 16500 18150 19965 20625 26620 27500 30250 33275 36300 39930 41250 45375 60500 66550 75625 79860 82500 90750 99825 133100 151250 166375 181500 199650 226875 302500 332750 399300 453750 499125 665500 831875 907500 998250 1663750 1996500 2495625 3327500 4991250 9982500