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63796240 = 2451761769
BaseRepresentation
bin1111001101011…
…1010000010000
311110001011222201
43303113100100
5112312434430
610155212544
71403154604
oct363272020
9143034881
1063796240
1133014072
1219447154
13102a8b71
148689504
1559028ca
hex3cd7410

63796240 has 80 divisors (see below), whose sum is σ = 159833520. Its totient is φ = 23592960.

The previous prime is 63796237. The next prime is 63796247. The reversal of 63796240 is 4269736.

It can be written as a sum of positive squares in 8 ways, for example, as 4875264 + 58920976 = 2208^2 + 7676^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 63796240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63796247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82576 + ... + 83344.

It is an arithmetic number, because the mean of its divisors is an integer number (1997919).

Almost surely, 263796240 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 63796240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79916760).

63796240 is an abundant number, since it is smaller than the sum of its proper divisors (96037280).

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

63796240 is a wasteful number, since it uses less digits than its factorization.

63796240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 63796240 is about 7987.2548475681. The cubic root of 63796240 is about 399.5750487009.

The spelling of 63796240 in words is "sixty-three million, seven hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 61 68 80 85 122 136 170 244 272 305 340 488 610 680 769 976 1037 1220 1360 1538 2074 2440 3076 3845 4148 4880 5185 6152 7690 8296 10370 12304 13073 15380 16592 20740 26146 30760 41480 46909 52292 61520 65365 82960 93818 104584 130730 187636 209168 234545 261460 375272 469090 522920 750544 797453 938180 1045840 1594906 1876360 3189812 3752720 3987265 6379624 7974530 12759248 15949060 31898120 63796240