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9428940 = 2233519919
BaseRepresentation
bin100011111101…
…111111001100
3122202001002000
4203331333030
54403211230
6534032300
7143100423
oct43757714
918661060
109428940
115360114
1231a8690
131c51971
1413762ba
15c63b60
hex8fdfcc

9428940 has 96 divisors (see below), whose sum is σ = 30912000. Its totient is φ = 2379456.

The previous prime is 9428917. The next prime is 9428941. The reversal of 9428940 is 498249.

It is a happy number.

9428940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 9428895 and 9428904.

It is not an unprimeable number, because it can be changed into a prime (9428941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9801 + ... + 10719.

It is an arithmetic number, because the mean of its divisors is an integer number (322000).

Almost surely, 29428940 is an apocalyptic number.

9428940 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 9428940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456000).

9428940 is an abundant number, since it is smaller than the sum of its proper divisors (21483060).

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

9428940 is a wasteful number, since it uses less digits than its factorization.

9428940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9428940 is about 3070.6579099600. The cubic root of 9428940 is about 211.2617910625.

The spelling of 9428940 in words is "nine million, four hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 919 1026 1140 1710 1838 2052 2565 2757 3420 3676 4595 5130 5514 8271 9190 10260 11028 13785 16542 17461 18380 24813 27570 33084 34922 41355 49626 52383 55140 69844 82710 87305 99252 104766 124065 157149 165420 174610 209532 248130 261915 314298 349220 471447 496260 523830 628596 785745 942894 1047660 1571490 1885788 2357235 3142980 4714470 9428940