Search a number
-
+
6234240 = 273517191
BaseRepresentation
bin10111110010000010000000
3102201201202210
4113302002000
53043443430
6341342120
7103663425
oct27620200
912651683
106234240
113578971
122107940
1313a37cc
14b83d4c
158322b0
hex5f2080

6234240 has 128 divisors (see below), whose sum is σ = 21150720. Its totient is φ = 1556480.

The previous prime is 6234233. The next prime is 6234247. The reversal of 6234240 is 424326.

It is an interprime number because it is at equal distance from previous prime (6234233) and next prime (6234247).

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

It is not an unprimeable number, because it can be changed into a prime (6234247) 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, 32545 + ... + 32735.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

Almost surely, 26234240 is an apocalyptic number.

6234240 is a gapful number since it is divisible by the number (60) 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 6234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575360).

6234240 is an abundant number, since it is smaller than the sum of its proper divisors (14916480).

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

6234240 is a wasteful number, since it uses less digits than its factorization.

6234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 6234240 is about 2496.8460104700. The cubic root of 6234240 is about 184.0466170479.

Adding to 6234240 its reverse (424326), we get a palindrome (6658566).

The spelling of 6234240 in words is "six million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 191 192 204 240 255 272 320 340 382 384 408 480 510 544 573 640 680 764 816 955 960 1020 1088 1146 1360 1528 1632 1910 1920 2040 2176 2292 2720 2865 3056 3247 3264 3820 4080 4584 5440 5730 6112 6494 6528 7640 8160 9168 9741 10880 11460 12224 12988 15280 16235 16320 18336 19482 22920 24448 25976 30560 32470 32640 36672 38964 45840 48705 51952 61120 64940 73344 77928 91680 97410 103904 122240 129880 155856 183360 194820 207808 259760 311712 366720 389640 415616 519520 623424 779280 1039040 1246848 1558560 2078080 3117120 6234240