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63106368 = 26313131193
BaseRepresentation
bin1111000010111…
…0110101000000
311101202010122220
43300232311000
5112123400433
610132331040
71364252403
oct360566500
9141663586
1063106368
1132692826
1219173a80
13100c6b60
148549d3a
1558182b3
hex3c2ed40

63106368 has 112 divisors (see below), whose sum is σ = 182124096. Its totient is φ = 19169280.

The previous prime is 63106367. The next prime is 63106369. The reversal of 63106368 is 86360136.

It is an interprime number because it is at equal distance from previous prime (63106367) and next prime (63106369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63106367) 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, 326880 + ... + 327072.

It is an arithmetic number, because the mean of its divisors is an integer number (1626108).

Almost surely, 263106368 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 63106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91062048).

63106368 is an abundant number, since it is smaller than the sum of its proper divisors (119017728).

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

63106368 is a wasteful number, since it uses less digits than its factorization.

63106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 63106368 is about 7943.9516614844. The cubic root of 63106368 is about 398.1295336897.

The spelling of 63106368 in words is "sixty-three million, one hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 131 156 192 193 208 262 312 386 393 416 524 579 624 772 786 832 1048 1158 1248 1544 1572 1703 2096 2316 2496 2509 3088 3144 3406 4192 4632 5018 5109 6176 6288 6812 7527 8384 9264 10036 10218 12352 12576 13624 15054 18528 20072 20436 25152 25283 27248 30108 37056 40144 40872 50566 54496 60216 75849 80288 81744 101132 108992 120432 151698 160576 163488 202264 240864 303396 326976 328679 404528 481728 606792 657358 809056 986037 1213584 1314716 1618112 1972074 2427168 2629432 3944148 4854336 5258864 7888296 10517728 15776592 21035456 31553184 63106368