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5940720 = 2432537223
BaseRepresentation
bin10110101010010111110000
3102011211010200
4112222113300
53010100340
6331155200
7101331612
oct26522760
912154120
105940720
113398395
121ba5b00
131300026
14b08db2
157c5330
hex5aa5f0

5940720 has 120 divisors (see below), whose sum is σ = 20582016. Its totient is φ = 1534464.

The previous prime is 5940653. The next prime is 5940743. The reversal of 5940720 is 270495.

5940720 is a `hidden beast` number, since 594 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 an Ulam number.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26529 + ... + 26751.

Almost surely, 25940720 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 5940720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10291008).

5940720 is an abundant number, since it is smaller than the sum of its proper divisors (14641296).

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

5940720 is a wasteful number, since it uses less digits than its factorization.

5940720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5940720 is about 2437.3592267042. The cubic root of 5940720 is about 181.1116391546. Note that the first 3 decimals are identical.

The spelling of 5940720 in words is "five million, nine hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 223 240 296 333 360 370 444 446 555 592 666 669 720 740 888 892 1110 1115 1332 1338 1480 1665 1776 1784 2007 2220 2230 2664 2676 2960 3330 3345 3568 4014 4440 4460 5328 5352 6660 6690 8028 8251 8880 8920 10035 10704 13320 13380 16056 16502 17840 20070 24753 26640 26760 32112 33004 40140 41255 49506 53520 66008 74259 80280 82510 99012 123765 132016 148518 160560 165020 198024 247530 297036 330040 371295 396048 495060 594072 660080 742590 990120 1188144 1485180 1980240 2970360 5940720