Search a number
-
+
7427420 = 22572111353
BaseRepresentation
bin11100010101010101011100
3111222100111122
4130111111130
53400134140
6423110112
7120063200
oct34252534
914870448
107427420
114213370
1225a2338
131700930
14db4b00
159baab5
hex71555c

7427420 has 144 divisors (see below), whose sum is σ = 21718368. Its totient is φ = 2096640.

The previous prime is 7427353. The next prime is 7427443. The reversal of 7427420 is 247247.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 7427420.

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, 140114 + ... + 140166.

It is an arithmetic number, because the mean of its divisors is an integer number (150822).

Almost surely, 27427420 is an apocalyptic number.

7427420 is a gapful number since it is divisible by the number (70) 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 7427420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859184).

7427420 is an abundant number, since it is smaller than the sum of its proper divisors (14290948).

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

7427420 is a wasteful number, since it uses less digits than its factorization.

7427420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 7427420 is about 2725.3293378966. The cubic root of 7427420 is about 195.1099095491.

The spelling of 7427420 in words is "seven million, four hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 53 55 65 70 77 91 98 106 110 130 140 143 154 182 196 212 220 245 260 265 286 308 364 371 385 455 490 530 539 572 583 637 689 715 742 770 910 980 1001 1060 1078 1166 1274 1378 1430 1484 1540 1820 1855 2002 2156 2332 2548 2597 2695 2756 2860 2915 3185 3445 3710 4004 4081 4823 5005 5194 5390 5830 6370 6890 7007 7420 7579 8162 9646 10010 10388 10780 11660 12740 12985 13780 14014 15158 16324 19292 20020 20405 24115 25970 28028 28567 30316 33761 35035 37895 40810 48230 51940 53053 57134 67522 70070 75790 81620 96460 106106 114268 135044 140140 142835 151580 168805 212212 265265 285670 337610 371371 530530 571340 675220 742742 1061060 1485484 1856855 3713710 7427420