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9972090 = 2325179619
BaseRepresentation
bin100110000010…
…100101111010
3200202122010200
4212002211322
510023101330
6553423030
7150522102
oct46024572
920678120
109972090
1156a11a7
12340aa76
1320b1c5b
141478202
15d1ea60
hex98297a

9972090 has 48 divisors (see below), whose sum is σ = 26114400. Its totient is φ = 2640096.

The previous prime is 9972059. The next prime is 9972101. The reversal of 9972090 is 902799.

It is an Ulam number.

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, 15801 + ... + 16419.

It is an arithmetic number, because the mean of its divisors is an integer number (544050).

Almost surely, 29972090 is an apocalyptic number.

9972090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9972090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057200).

9972090 is an abundant number, since it is smaller than the sum of its proper divisors (16142310).

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

9972090 is a wasteful number, since it uses less digits than its factorization.

9972090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 808 counting only the distinct ones).

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

The square root of 9972090 is about 3157.8616182474. The cubic root of 9972090 is about 215.2428480022.

The spelling of 9972090 in words is "nine million, nine hundred seventy-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 619 895 1074 1238 1611 1790 1857 2685 3095 3222 3714 5370 5571 6190 8055 9285 11142 16110 18570 27855 55710 110801 221602 332403 554005 664806 997209 1108010 1662015 1994418 3324030 4986045 9972090