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4223040 = 26355383
BaseRepresentation
bin10000000111000001000000
321221112220220
4100013001000
52040114130
6230303040
750616033
oct20070100
97845826
104223040
112424918
1214b7a80
13b4b253
147bd01a
15586410
hex407040

4223040 has 112 divisors (see below), whose sum is σ = 13825728. Its totient is φ = 1091584.

The previous prime is 4223029. The next prime is 4223057. The reversal of 4223040 is 403224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

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 15 ways as a sum of consecutive naturals, for example, 50839 + ... + 50921.

It is an arithmetic number, because the mean of its divisors is an integer number (123444).

Almost surely, 24223040 is an apocalyptic number.

4223040 is a gapful number since it is divisible by the number (40) 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 4223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912864).

4223040 is an abundant number, since it is smaller than the sum of its proper divisors (9602688).

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

4223040 is a wasteful number, since it uses less digits than its factorization.

4223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4223040 is about 2055.0036496318. The cubic root of 4223040 is about 161.6373537151.

Subtracting from 4223040 its sum of digits (15), we obtain a square (4223025 = 20552).

Adding to 4223040 its reverse (403224), we get a palindrome (4626264).

The spelling of 4223040 in words is "four million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 83 96 106 120 159 160 166 192 212 240 249 265 318 320 332 415 424 480 498 530 636 664 795 830 848 960 996 1060 1245 1272 1328 1590 1660 1696 1992 2120 2490 2544 2656 3180 3320 3392 3984 4240 4399 4980 5088 5312 6360 6640 7968 8480 8798 9960 10176 12720 13197 13280 15936 16960 17596 19920 21995 25440 26394 26560 35192 39840 43990 50880 52788 65985 70384 79680 87980 105576 131970 140768 175960 211152 263940 281536 351920 422304 527880 703840 844608 1055760 1407680 2111520 4223040