Search a number
-
+
6025140 = 223251117179
BaseRepresentation
bin10110111110111110110100
3102100002221100
4112332332310
53020301030
6333050100
7102133002
oct26767664
912302840
106025140
113445860
122026930
13132c594
14b2ba72
157e0360
hex5befb4

6025140 has 144 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 1367040.

The previous prime is 6025133. The next prime is 6025163. The reversal of 6025140 is 415206.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33571 + ... + 33749.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 26025140 is an apocalyptic number.

6025140 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 6025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

6025140 is an abundant number, since it is smaller than the sum of its proper divisors (15203340).

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

6025140 is a wasteful number, since it uses less digits than its factorization.

6025140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 6025140 is about 2454.6160595906. The cubic root of 6025140 is about 181.9654968205.

It can be divided in two parts, 60 and 25140, that added together give a triangular number (25200 = T224).

The spelling of 6025140 in words is "six million, twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 179 180 187 198 204 220 255 306 330 340 358 374 396 495 510 537 561 612 660 716 748 765 895 935 990 1020 1074 1122 1530 1611 1683 1790 1870 1969 1980 2148 2244 2685 2805 3043 3060 3222 3366 3580 3740 3938 5370 5610 5907 6086 6444 6732 7876 8055 8415 9129 9845 10740 11220 11814 12172 15215 16110 16830 17721 18258 19690 23628 27387 29535 30430 32220 33473 33660 35442 36516 39380 45645 54774 59070 60860 66946 70884 88605 91290 100419 109548 118140 133892 136935 167365 177210 182580 200838 273870 301257 334730 354420 401676 502095 547740 602514 669460 1004190 1205028 1506285 2008380 3012570 6025140