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9990720 = 263253469
BaseRepresentation
bin100110000111…
…001001000000
3200210120200200
4212013021000
510024200340
6554045200
7150630315
oct46071100
920716620
109990720
1157041a3
123419800
1320ba58c
141480d0c
15d25330
hex987240

9990720 has 84 divisors (see below), whose sum is σ = 34373820. Its totient is φ = 2663424.

The previous prime is 9990689. The next prime is 9990727. The reversal of 9990720 is 270999.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 8433216 = 1248^2 + 2904^2 .

It is a super-2 number, since 2×99907202 = 199628972236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9990727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1146 + ... + 4614.

Almost surely, 29990720 is an apocalyptic number.

9990720 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 9990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186910).

9990720 is an abundant number, since it is smaller than the sum of its proper divisors (24383100).

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

9990720 is a wasteful number, since it uses less digits than its factorization.

9990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 9990720 is about 3160.8100227632. The cubic root of 9990720 is about 215.3768045310.

The spelling of 9990720 in words is "nine million, nine hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 3469 6938 10407 13876 17345 20814 27752 31221 34690 41628 52035 55504 62442 69380 83256 104070 111008 124884 138760 156105 166512 208140 222016 249768 277520 312210 333024 416280 499536 555040 624420 666048 832560 999072 1110080 1248840 1665120 1998144 2497680 3330240 4995360 9990720