Search a number
-
+
5970240 = 26335691
BaseRepresentation
bin10110110001100101000000
3102020022122000
4112301211000
53012021430
6331544000
7101513643
oct26614500
912208560
105970240
113408591
121bbb000
1313105b3
14b15a5a
157cde60
hex5b1940

5970240 has 112 divisors (see below), whose sum is σ = 21092160. Its totient is φ = 1589760.

The previous prime is 5970227. The next prime is 5970241. The reversal of 5970240 is 420795.

5970240 is a nontrivial binomial coefficient, being equal to C(3456, 2).

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 (5970241) 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, 8295 + ... + 8985.

Almost surely, 25970240 is an apocalyptic number.

5970240 is the 3455-th triangular number and also the 1728-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10546080).

5970240 is an abundant number, since it is smaller than the sum of its proper divisors (15121920).

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

5970240 is a wasteful number, since it uses less digits than its factorization.

5970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 701 counting only the distinct ones).

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

The square root of 5970240 is about 2443.4074568111. The cubic root of 5970240 is about 181.4111305933.

The spelling of 5970240 in words is "five million, nine hundred seventy 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 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 691 720 864 960 1080 1382 1440 1728 2073 2160 2764 2880 3455 4146 4320 5528 6219 6910 8292 8640 10365 11056 12438 13820 16584 18657 20730 22112 24876 27640 31095 33168 37314 41460 44224 49752 55280 62190 66336 74628 82920 93285 99504 110560 124380 132672 149256 165840 186570 199008 221120 248760 298512 331680 373140 398016 497520 597024 663360 746280 995040 1194048 1492560 1990080 2985120 5970240