Search a number
-
+
6140992 = 261121361
BaseRepresentation
bin10111011011010001000000
3102112222212011
4113123101000
53033002432
6335342304
7103124524
oct27332100
912488764
106140992
113514900
122081994
131370230
14b5bd84
15814847
hex5db440

6140992 has 84 divisors (see below), whose sum is σ = 14661388. Its totient is φ = 2534400.

The previous prime is 6140989. The next prime is 6140999. The reversal of 6140992 is 2990416.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 5645376 = 704^2 + 2376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100642 + ... + 100702.

Almost surely, 26140992 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 6140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330694).

6140992 is an abundant number, since it is smaller than the sum of its proper divisors (8520396).

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

6140992 is a wasteful number, since it uses less digits than its factorization.

6140992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 6140992 is about 2478.1024998979. The cubic root of 6140992 is about 183.1243841686.

The spelling of 6140992 in words is "six million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 61 64 88 104 121 122 143 176 208 242 244 286 352 416 484 488 572 671 704 793 832 968 976 1144 1342 1573 1586 1936 1952 2288 2684 3146 3172 3872 3904 4576 5368 6292 6344 7381 7744 8723 9152 10736 12584 12688 14762 17446 21472 25168 25376 29524 34892 42944 50336 50752 59048 69784 95953 100672 118096 139568 191906 236192 279136 383812 472384 558272 767624 1535248 3070496 6140992