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63139680 = 25325163269
BaseRepresentation
bin1111000011011…
…0111101100000
311101210211100200
43300312331200
5112130432210
610133145200
71364451462
oct360667540
9141724320
1063139680
113270585a
121918b200
1310109076
148558132
1558230c0
hex3c36f60

63139680 has 144 divisors (see below), whose sum is σ = 217591920. Its totient is φ = 16671744.

The previous prime is 63139639. The next prime is 63139691. The reversal of 63139680 is 8693136.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 234586 + ... + 234854.

It is an arithmetic number, because the mean of its divisors is an integer number (1511055).

Almost surely, 263139680 is an apocalyptic number.

63139680 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 63139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108795960).

63139680 is an abundant number, since it is smaller than the sum of its proper divisors (154452240).

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

63139680 is a wasteful number, since it uses less digits than its factorization.

63139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 63139680 is about 7946.0480743575. The cubic root of 63139680 is about 398.1995749998.

The spelling of 63139680 in words is "sixty-three million, one hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 163 180 240 269 288 326 360 480 489 538 652 720 807 815 978 1076 1304 1345 1440 1467 1614 1630 1956 2152 2421 2445 2608 2690 2934 3228 3260 3912 4035 4304 4842 4890 5216 5380 5868 6456 6520 7335 7824 8070 8608 9684 9780 10760 11736 12105 12912 13040 14670 15648 16140 19368 19560 21520 23472 24210 25824 26080 29340 32280 38736 39120 43040 43847 46944 48420 58680 64560 77472 78240 87694 96840 117360 129120 131541 175388 193680 219235 234720 263082 350776 387360 394623 438470 526164 657705 701552 789246 876940 1052328 1315410 1403104 1578492 1753880 1973115 2104656 2630820 3156984 3507760 3946230 4209312 5261640 6313968 7015520 7892460 10523280 12627936 15784920 21046560 31569840 63139680