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8940240 = 243354139
BaseRepresentation
bin100010000110…
…101011010000
3121211012201000
4202012223100
54242041430
6515342000
7135663561
oct42065320
917735630
108940240
115056a31
122bb1900
131b103aa
14128a168
15bb8e60
hex886ad0

8940240 has 80 divisors (see below), whose sum is σ = 30801600. Its totient is φ = 2383488.

The previous prime is 8940229. The next prime is 8940247. The reversal of 8940240 is 420498.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8940247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91 + ... + 4229.

It is an arithmetic number, because the mean of its divisors is an integer number (385020).

Almost surely, 28940240 is an apocalyptic number.

8940240 is a gapful number since it is divisible by the number (80) 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 8940240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400800).

8940240 is an abundant number, since it is smaller than the sum of its proper divisors (21861360).

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

8940240 is a wasteful number, since it uses less digits than its factorization.

8940240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4149 counting only the distinct ones).

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

The square root of 8940240 is about 2990.0234112796. The cubic root of 8940240 is about 207.5469676426.

It can be divided in two parts, 8940 and 240, that added together give a triangular number (9180 = T135).

The spelling of 8940240 in words is "eight million, nine hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4139 8278 12417 16556 20695 24834 33112 37251 41390 49668 62085 66224 74502 82780 99336 111753 124170 149004 165560 186255 198672 223506 248340 298008 331120 372510 447012 496680 558765 596016 745020 894024 993360 1117530 1490040 1788048 2235060 2980080 4470120 8940240