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4026240 = 27335233
BaseRepresentation
bin1111010110111110000000
321120112222000
433112332000
52012314430
6222144000
746136211
oct17267600
97515860
104026240
1122aaa79
121422000
13aac7ba
1476b408
15547e60
hex3d6f80

4026240 has 128 divisors (see below), whose sum is σ = 14320800. Its totient is φ = 1069056.

The previous prime is 4026227. The next prime is 4026257. The reversal of 4026240 is 426204.

4026240 is a `hidden beast` number, since 40 + 2 + 624 + 0 = 666.

4026240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17164 + ... + 17396.

Almost surely, 24026240 is an apocalyptic number.

4026240 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 4026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160400).

4026240 is an abundant number, since it is smaller than the sum of its proper divisors (10294560).

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

4026240 is a wasteful number, since it uses less digits than its factorization.

4026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4026240 is about 2006.5492767435. The cubic root of 4026240 is about 159.0864606301.

The spelling of 4026240 in words is "four million, twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 233 240 270 288 320 360 384 432 466 480 540 576 640 699 720 864 932 960 1080 1152 1165 1398 1440 1728 1864 1920 2097 2160 2330 2796 2880 3456 3495 3728 4194 4320 4660 5592 5760 6291 6990 7456 8388 8640 9320 10485 11184 12582 13980 14912 16776 17280 18640 20970 22368 25164 27960 29824 31455 33552 37280 41940 44736 50328 55920 62910 67104 74560 83880 89472 100656 111840 125820 134208 149120 167760 201312 223680 251640 268416 335520 402624 447360 503280 671040 805248 1006560 1342080 2013120 4026240