Search a number
-
+
63893940 = 223511131739
BaseRepresentation
bin1111001110111…
…1000110110100
311110020011000020
43303233012310
5112324101230
610201245140
71404042465
oct363570664
9143204006
1063893940
1133080510
12194937b0
1310311486
1486b2d6c
155921810
hex3cef1b4

63893940 has 96 divisors (see below), whose sum is σ = 196922880. Its totient is φ = 15350400.

The previous prime is 63893933. The next prime is 63893953. The reversal of 63893940 is 4939836.

It is a junction number, because it is equal to n+sod(n) for n = 63893892 and 63893901.

It is a congruent number.

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, 86091 + ... + 86829.

It is an arithmetic number, because the mean of its divisors is an integer number (2051280).

Almost surely, 263893940 is an apocalyptic number.

63893940 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 63893940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98461440).

63893940 is an abundant number, since it is smaller than the sum of its proper divisors (133028940).

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

63893940 is a wasteful number, since it uses less digits than its factorization.

63893940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 63893940 is about 7993.3685014517. The cubic root of 63893940 is about 399.7789194977.

The spelling of 63893940 in words is "sixty-three million, eight hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 165 220 262 330 393 524 655 660 739 786 1310 1441 1478 1572 1965 2217 2620 2882 2956 3695 3930 4323 4434 5764 7205 7390 7860 8129 8646 8868 11085 14410 14780 16258 17292 21615 22170 24387 28820 32516 40645 43230 44340 48774 81290 86460 96809 97548 121935 162580 193618 243870 290427 387236 484045 487740 580854 968090 1064899 1161708 1452135 1936180 2129798 2904270 3194697 4259596 5324495 5808540 6389394 10648990 12778788 15973485 21297980 31946970 63893940