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7128420 = 22351321937
BaseRepresentation
bin11011001100010101100100
3111102011100120
4123030111210
53311102140
6412441540
7114406365
oct33142544
914364316
107128420
114029762
1224792b0
131627800
14d37b6c
1595c1d0
hex6cc564

7128420 has 144 divisors (see below), whose sum is σ = 23365440. Its totient is φ = 1617408.

The previous prime is 7128391. The next prime is 7128427. The reversal of 7128420 is 248217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7128427) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 192642 + ... + 192678.

It is an arithmetic number, because the mean of its divisors is an integer number (162260).

Almost surely, 27128420 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 7128420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682720).

7128420 is an abundant number, since it is smaller than the sum of its proper divisors (16237020).

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

7128420 is a wasteful number, since it uses less digits than its factorization.

7128420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7128420 is about 2669.9101108464. The cubic root of 7128420 is about 192.4558396481.

The spelling of 7128420 in words is "seven million, one hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 37 38 39 52 57 60 65 74 76 78 95 111 114 130 148 156 169 185 190 195 222 228 247 260 285 338 370 380 390 444 481 494 507 555 570 676 703 740 741 780 845 962 988 1014 1110 1140 1235 1406 1443 1482 1690 1924 2028 2109 2220 2405 2470 2535 2812 2886 2964 3211 3380 3515 3705 4218 4810 4940 5070 5772 6253 6422 7030 7215 7410 8436 9139 9620 9633 10140 10545 12506 12844 14060 14430 14820 16055 18278 18759 19266 21090 25012 27417 28860 31265 32110 36556 37518 38532 42180 45695 48165 54834 62530 64220 75036 91390 93795 96330 109668 118807 125060 137085 182780 187590 192660 237614 274170 356421 375180 475228 548340 594035 712842 1188070 1425684 1782105 2376140 3564210 7128420