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8423940 = 2235731647
BaseRepresentation
bin100000001000…
…101000000100
3120211222110210
4200020220010
54124031230
6500315420
7131413410
oct40105004
916758423
108423940
114834038
1229a2b70
13198c3a5
141193d40
15b15eb0
hex808a04

8423940 has 96 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 1860480.

The previous prime is 8423929. The next prime is 8423953. The reversal of 8423940 is 493248.

It is a happy number.

8423940 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 8423898 and 8423907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12697 + ... + 13343.

It is an arithmetic number, because the mean of its divisors is an integer number (290304).

Almost surely, 28423940 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 8423940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592).

8423940 is an abundant number, since it is smaller than the sum of its proper divisors (19445244).

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

8423940 is a wasteful number, since it uses less digits than its factorization.

8423940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 8423940 is about 2902.4024531412. The cubic root of 8423940 is about 203.4722035011.

The spelling of 8423940 in words is "eight million, four hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 647 651 868 930 1085 1294 1302 1860 1941 2170 2588 2604 3235 3255 3882 4340 4529 6470 6510 7764 9058 9705 12940 13020 13587 18116 19410 20057 22645 27174 38820 40114 45290 54348 60171 67935 80228 90580 100285 120342 135870 140399 200570 240684 271740 280798 300855 401140 421197 561596 601710 701995 842394 1203420 1403990 1684788 2105985 2807980 4211970 8423940