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6142320 = 24 ⋅ 32 ⋅ 5 ⋅ 19 ⋅ 449
BaseRepresentation
bin10111011011100101110000
3102120001200100
4113123211300
53033023240
6335352400
7103131432
oct27334560
912501610
106142320
1135158a8
122082700
131370a12
14b5c652
15814e30
hex5db970

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(max 15 digits)

6142320 has 120 divisors (see below), whose sum is σ = 21762000. Its totient is φ = 1548288.

The previous prime is 6142307. The next prime is 6142327. The reversal of 6142320 is 232416.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 6142293 and 6142302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13456 + ... + 13904.

It is an arithmetic number, because the mean of its divisors is an integer number (181350).

Almost surely, 26142320 is an apocalyptic number.

6142320 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 6142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881000).

6142320 is an abundant number, since it is smaller than the sum of its proper divisors (15619680).

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

6142320 is a wasteful number, since it uses less digits than its factorization.

6142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6142320 is about 2478.3704323607. The cubic root of 6142320 is about 183.1375835374.

Adding to 6142320 its reverse (232416), we get a palindrome (6374736).

The spelling of 6142320 in words is "six million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 449 456 570 684 720 760 855 898 912 1140 1347 1368 1520 1710 1796 2245 2280 2694 2736 3420 3592 4041 4490 4560 5388 6735 6840 7184 8082 8531 8980 10776 13470 13680 16164 17062 17960 20205 21552 25593 26940 32328 34124 35920 40410 42655 51186 53880 64656 68248 76779 80820 85310 102372 107760 127965 136496 153558 161640 170620 204744 255930 307116 323280 341240 383895 409488 511860 614232 682480 767790 1023720 1228464 1535580 2047440 3071160 6142320