Search a number
-
+
7990320 = 2435132197
BaseRepresentation
bin11110011110110000110000
3120000221122210
4132132300300
54021142240
6443132120
7124626252
oct36366060
916027583
107990320
114568278
122814040
131869c00
1410bdcd2
15a7c780
hex79ec30

7990320 has 120 divisors (see below), whose sum is σ = 26958096. Its totient is φ = 1956864.

The previous prime is 7990319. The next prime is 7990337. The reversal of 7990320 is 230997.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 40462 + ... + 40658.

Almost surely, 27990320 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 7990320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13479048).

7990320 is an abundant number, since it is smaller than the sum of its proper divisors (18967776).

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

7990320 is a wasteful number, since it uses less digits than its factorization.

7990320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 7990320 is about 2826.7154083848. The cubic root of 7990320 is about 199.9193007759.

The spelling of 7990320 in words is "seven million, nine hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 197 208 240 260 312 338 390 394 507 520 591 624 676 780 788 845 985 1014 1040 1182 1352 1560 1576 1690 1970 2028 2364 2535 2561 2704 2955 3120 3152 3380 3940 4056 4728 5070 5122 5910 6760 7683 7880 8112 9456 10140 10244 11820 12805 13520 15366 15760 20280 20488 23640 25610 30732 33293 38415 40560 40976 47280 51220 61464 66586 76830 99879 102440 122928 133172 153660 166465 199758 204880 266344 307320 332930 399516 499395 532688 614640 665860 799032 998790 1331720 1598064 1997580 2663440 3995160 7990320