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6140680 = 2357213241
BaseRepresentation
bin10111011011001100001000
3102112222102121
4113123030020
53033000210
6335341024
7103123600
oct27331410
912488377
106140680
113514647
122081774
131370050
14b5bc00
158146da
hex5db308

6140680 has 96 divisors (see below), whose sum is σ = 17380440. Its totient is φ = 1935360.

The previous prime is 6140671. The next prime is 6140707. The reversal of 6140680 is 860416.

It can be written as a sum of positive squares in 4 ways, for example, as 4588164 + 1552516 = 2142^2 + 1246^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25360 + ... + 25600.

Almost surely, 26140680 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 6140680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690220).

6140680 is an abundant number, since it is smaller than the sum of its proper divisors (11239760).

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

6140680 is a wasteful number, since it uses less digits than its factorization.

6140680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 6140680 is about 2478.0395477070. The cubic root of 6140680 is about 183.1212828360.

The spelling of 6140680 in words is "six million, one hundred forty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 241 245 260 280 364 392 455 482 490 520 637 728 910 964 980 1205 1274 1687 1820 1928 1960 2410 2548 3133 3185 3374 3640 4820 5096 6266 6370 6748 8435 9640 11809 12532 12740 13496 15665 16870 21931 23618 25064 25480 31330 33740 43862 47236 59045 62660 67480 87724 94472 109655 118090 125320 153517 175448 219310 236180 307034 438620 472360 614068 767585 877240 1228136 1535170 3070340 6140680