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7630020 = 22325192397
BaseRepresentation
bin11101000110110011000100
3112100122102100
4131012303010
53423130040
6431312100
7121565646
oct35066304
915318370
107630020
114341602
12267b630
131771c08
141028896
15a0ab30
hex746cc4

7630020 has 144 divisors (see below), whose sum is σ = 25683840. Its totient is φ = 1824768.

The previous prime is 7630019. The next prime is 7630037. The reversal of 7630020 is 200367.

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

It is a junction number, because it is equal to n+sod(n) for n = 7629975 and 7630002.

It is an unprimeable number.

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, 78612 + ... + 78708.

It is an arithmetic number, because the mean of its divisors is an integer number (178360).

Almost surely, 27630020 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 7630020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841920).

7630020 is an abundant number, since it is smaller than the sum of its proper divisors (18053820).

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

7630020 is a wasteful number, since it uses less digits than its factorization.

7630020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 7630020 is about 2762.2490836273. The cubic root of 7630020 is about 196.8680435940.

Adding to 7630020 its reverse (200367), we get a palindrome (7830387).

The spelling of 7630020 in words is "seven million, six hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 90 92 95 97 114 115 138 171 180 190 194 207 228 230 276 285 291 342 345 380 388 414 437 460 485 570 582 684 690 828 855 873 874 970 1035 1140 1164 1311 1380 1455 1710 1746 1748 1843 1940 2070 2185 2231 2622 2910 3420 3492 3686 3933 4140 4365 4370 4462 5244 5529 5820 6555 6693 7372 7866 8730 8740 8924 9215 11058 11155 13110 13386 15732 16587 17460 18430 19665 20079 22116 22310 26220 26772 27645 33174 33465 36860 39330 40158 42389 44620 55290 66348 66930 78660 80316 82935 84778 100395 110580 127167 133860 165870 169556 200790 211945 254334 331740 381501 401580 423890 508668 635835 763002 847780 1271670 1526004 1907505 2543340 3815010 7630020