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63006696 = 23324347433
BaseRepresentation
bin1111000001011…
…0011111101000
311101120001221100
43300112133220
5112112203241
610130241400
71363355664
oct360263750
9141501840
1063006696
1132624955
1219126260
131009068c
1485218a4
1557e89b6
hex3c167e8

63006696 has 96 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 20030976.

The previous prime is 63006673. The next prime is 63006701. The reversal of 63006696 is 69660036.

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

It is a self number, because there is not a number n which added to its sum of digits gives 63006696.

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, 145296 + ... + 145728.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 263006696 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 63006696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

63006696 is an abundant number, since it is smaller than the sum of its proper divisors (115731864).

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

63006696 is a wasteful number, since it uses less digits than its factorization.

63006696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 63006696 is about 7937.6757303382. The cubic root of 63006696 is about 397.9198175215.

It can be divided in two parts, 6300 and 6696, that added together give a square (12996 = 1142).

The spelling of 63006696 in words is "sixty-three million, six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 47 72 86 94 129 141 172 188 258 282 344 376 387 423 433 516 564 774 846 866 1032 1128 1299 1548 1692 1732 2021 2598 3096 3384 3464 3897 4042 5196 6063 7794 8084 10392 12126 15588 16168 18189 18619 20351 24252 31176 36378 37238 40702 48504 55857 61053 72756 74476 81404 111714 122106 145512 148952 162808 167571 183159 223428 244212 335142 366318 446856 488424 670284 732636 875093 1340568 1465272 1750186 2625279 3500372 5250558 7000744 7875837 10501116 15751674 21002232 31503348 63006696