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63720640 = 2651071861
BaseRepresentation
bin1111001100010…
…0110011000000
311102220100021201
43303010303000
5112303030030
610153430544
71402421314
oct363046300
9142810251
1063720640
1132a72295
121940b454
1310280629
148669b44
1558da2ca
hex3cc4cc0

63720640 has 56 divisors (see below), whose sum is σ = 153235152. Its totient is φ = 25236480.

The previous prime is 63720619. The next prime is 63720667. The reversal of 63720640 is 4602736.

It is a junction number, because it is equal to n+sod(n) for n = 63720599 and 63720608.

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 7 ways as a sum of consecutive naturals, for example, 33310 + ... + 35170.

It is an arithmetic number, because the mean of its divisors is an integer number (2736342).

Almost surely, 263720640 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 63720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76617576).

63720640 is an abundant number, since it is smaller than the sum of its proper divisors (89514512).

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

63720640 is a wasteful number, since it uses less digits than its factorization.

63720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 63720640 is about 7982.5209050775. The cubic root of 63720640 is about 399.4171511305.

The spelling of 63720640 in words is "sixty-three million, seven hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 160 214 320 428 535 856 1070 1712 1861 2140 3424 3722 4280 6848 7444 8560 9305 14888 17120 18610 29776 34240 37220 59552 74440 119104 148880 199127 297760 398254 595520 796508 995635 1593016 1991270 3186032 3982540 6372064 7965080 12744128 15930160 31860320 63720640