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63303680 = 212511281
BaseRepresentation
bin1111000101111…
…1000000000000
311102010011022202
43301133000000
5112201204210
610140452332
71366033556
oct361370000
9142104282
1063303680
1132807aa0
121924a0a8
13101658cb
14859bbd6
1558569a5
hex3c5f000

63303680 has 104 divisors (see below), whose sum is σ = 166310064. Its totient is φ = 22937600.

The previous prime is 63303673. The next prime is 63303683. The reversal of 63303680 is 8630336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63303683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225140 + ... + 225420.

Almost surely, 263303680 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 63303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83155032).

63303680 is an abundant number, since it is smaller than the sum of its proper divisors (103006384).

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

63303680 is a wasteful number, since it uses less digits than its factorization.

63303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 63303680 is about 7956.3609772307. The cubic root of 63303680 is about 398.5440402160.

The spelling of 63303680 in words is "sixty-three million, three hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 281 320 352 440 512 562 640 704 880 1024 1124 1280 1405 1408 1760 2048 2248 2560 2810 2816 3091 3520 4096 4496 5120 5620 5632 6182 7040 8992 10240 11240 11264 12364 14080 15455 17984 20480 22480 22528 24728 28160 30910 35968 44960 45056 49456 56320 61820 71936 89920 98912 112640 123640 143872 179840 197824 225280 247280 287744 359680 395648 494560 575488 719360 791296 989120 1150976 1438720 1582592 1978240 2877440 3165184 3956480 5754880 6330368 7912960 12660736 15825920 31651840 63303680