Search a number
-
+
63307920 = 243513103197
BaseRepresentation
bin1111000110000…
…0000010010000
311102010101010210
43301200002100
5112201323140
610140524120
71366052124
oct361400220
9142111123
1063307920
11328101a5
1219250640
1310167810
14859d584
155857d80
hex3c60090

63307920 has 160 divisors (see below), whose sum is σ = 214486272. Its totient is φ = 15353856.

The previous prime is 63307901. The next prime is 63307969. The reversal of 63307920 is 2970336.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 321262 + ... + 321458.

Almost surely, 263307920 is an apocalyptic number.

63307920 is a gapful number since it is divisible by the number (60) 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 63307920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

63307920 is an abundant number, since it is smaller than the sum of its proper divisors (151178352).

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

63307920 is a wasteful number, since it uses less digits than its factorization.

63307920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 63307920 is about 7956.6274262403. The cubic root of 63307920 is about 398.5529380084.

The spelling of 63307920 in words is "sixty-three million, three hundred seven thousand, nine 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 80 103 104 120 130 156 195 197 206 208 240 260 309 312 390 394 412 515 520 591 618 624 780 788 824 985 1030 1040 1182 1236 1339 1545 1560 1576 1648 1970 2060 2364 2472 2561 2678 2955 3090 3120 3152 3940 4017 4120 4728 4944 5122 5356 5910 6180 6695 7683 7880 8034 8240 9456 10244 10712 11820 12360 12805 13390 15366 15760 16068 20085 20291 20488 21424 23640 24720 25610 26780 30732 32136 38415 40170 40582 40976 47280 51220 53560 60873 61464 64272 76830 80340 81164 101455 102440 107120 121746 122928 153660 160680 162328 202910 204880 243492 263783 304365 307320 321360 324656 405820 486984 527566 608730 614640 791349 811640 973968 1055132 1217460 1318915 1582698 1623280 2110264 2434920 2637830 3165396 3956745 4220528 4869840 5275660 6330792 7913490 10551320 12661584 15826980 21102640 31653960 63307920