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4290840 = 2333529137
BaseRepresentation
bin10000010111100100011000
322001222221000
4100113210120
52044301330
6231545000
751320511
oct20274430
98058830
104290840
112470854
12152b160
13b73078
147d9a08
1559b560
hex417918

4290840 has 128 divisors (see below), whose sum is σ = 14904000. Its totient is φ = 1096704.

The previous prime is 4290833. The next prime is 4290887. The reversal of 4290840 is 480924.

It is a super-2 number, since 2×42908402 = 36822615811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31252 + ... + 31388.

Almost surely, 24290840 is an apocalyptic number.

4290840 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 4290840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452000).

4290840 is an abundant number, since it is smaller than the sum of its proper divisors (10613160).

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

4290840 is a wasteful number, since it uses less digits than its factorization.

4290840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4290840 is about 2071.4342857064. The cubic root of 4290840 is about 162.4977830072.

The spelling of 4290840 in words is "four million, two hundred ninety thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 137 145 174 180 216 232 261 270 274 290 348 360 411 435 522 540 548 580 685 696 783 822 870 1044 1080 1096 1160 1233 1305 1370 1566 1644 1740 2055 2088 2466 2610 2740 3132 3288 3480 3699 3915 3973 4110 4932 5220 5480 6165 6264 7398 7830 7946 8220 9864 10440 11919 12330 14796 15660 15892 16440 18495 19865 23838 24660 29592 31320 31784 35757 36990 39730 47676 49320 59595 71514 73980 79460 95352 107271 119190 143028 147960 158920 178785 214542 238380 286056 357570 429084 476760 536355 715140 858168 1072710 1430280 2145420 4290840