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9390420 = 22325134013
BaseRepresentation
bin100011110100…
…100101010100
3122200002020100
4203310211110
54400443140
6533134100
7142550214
oct43644524
918602210
109390420
115334186
12318a330
131c3a280
141366244
15c57530
hex8f4954

9390420 has 72 divisors (see below), whose sum is σ = 30683016. Its totient is φ = 2310912.

The previous prime is 9390419. The next prime is 9390431. The reversal of 9390420 is 240939.

It can be written as a sum of positive squares in 4 ways, for example, as 887364 + 8503056 = 942^2 + 2916^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent 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, 334 + ... + 4346.

It is an arithmetic number, because the mean of its divisors is an integer number (426153).

Almost surely, 29390420 is an apocalyptic number.

9390420 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 9390420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341508).

9390420 is an abundant number, since it is smaller than the sum of its proper divisors (21292596).

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

9390420 is a wasteful number, since it uses less digits than its factorization.

9390420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9390420 is about 3064.3792193526. The cubic root of 9390420 is about 210.9737095041.

The spelling of 9390420 in words is "nine million, three hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4013 8026 12039 16052 20065 24078 36117 40130 48156 52169 60195 72234 80260 104338 120390 144468 156507 180585 208676 240780 260845 313014 361170 469521 521690 626028 722340 782535 939042 1043380 1565070 1878084 2347605 3130140 4695210 9390420