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9916620 = 2235723373
BaseRepresentation
bin100101110101…
…000011001100
3200122211001020
4211311003030
510014312440
6552314140
7150201300
oct45650314
920584036
109916620
11566355a
1233a2950
13209292c
141461d00
15d0d3d0
hex9750cc

9916620 has 72 divisors (see below), whose sum is σ = 32309424. Its totient is φ = 2265984.

The previous prime is 9916619. The next prime is 9916631. The reversal of 9916620 is 266199.

It is a happy number.

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

It is an unprimeable number.

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, 1254 + ... + 4626.

It is an arithmetic number, because the mean of its divisors is an integer number (448742).

Almost surely, 29916620 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 9916620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16154712).

9916620 is an abundant number, since it is smaller than the sum of its proper divisors (22392804).

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

9916620 is a wasteful number, since it uses less digits than its factorization.

9916620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 9916620 is about 3149.0665283541. The cubic root of 9916620 is about 214.8430078013.

The spelling of 9916620 in words is "nine million, nine hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3373 6746 10119 13492 16865 20238 23611 33730 40476 47222 50595 67460 70833 94444 101190 118055 141666 165277 202380 236110 283332 330554 354165 472220 495831 661108 708330 826385 991662 1416660 1652770 1983324 2479155 3305540 4958310 9916620