Search a number
-
+
7142940 = 2232575669
BaseRepresentation
bin11011001111111000011100
3111102220021100
4123033320130
53312033230
6413033100
7114466620
oct33177034
914386240
107142940
114039662
122485790
1316312bc
14d3d180
15961660
hex6cfe1c

7142940 has 72 divisors (see below), whose sum is σ = 24766560. Its totient is φ = 1632384.

The previous prime is 7142939. The next prime is 7142951. The reversal of 7142940 is 492417.

It is a happy number.

It is a super-3 number, since 3×71429403 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1575 + ... + 4094.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 27142940 is an apocalyptic number.

7142940 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7142940 is an abundant number, since it is smaller than the sum of its proper divisors (17623620).

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

7142940 is a wasteful number, since it uses less digits than its factorization.

7142940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7142940 is about 2672.6279202313. The cubic root of 7142940 is about 192.5864232172.

The spelling of 7142940 in words is "seven million, one hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 5669 11338 17007 22676 28345 34014 39683 51021 56690 68028 79366 85035 102042 113380 119049 158732 170070 198415 204084 238098 255105 340140 357147 396830 476196 510210 595245 714294 793660 1020420 1190490 1428588 1785735 2380980 3571470 7142940