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63672540 = 223510310303
BaseRepresentation
bin1111001011100…
…1000011011100
311102210220022020
43302321003130
5112300010130
610152420140
71402131141
oct362710334
9142726266
1063672540
1132a3a138
12193a7650
1310264779
1486563c8
1558cae10
hex3cb90dc

63672540 has 48 divisors (see below), whose sum is σ = 180031488. Its totient is φ = 16812864.

The previous prime is 63672517. The next prime is 63672541. The reversal of 63672540 is 4527636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63672541) 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, 1029 + ... + 11331.

It is an arithmetic number, because the mean of its divisors is an integer number (3750656).

Almost surely, 263672540 is an apocalyptic number.

63672540 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 63672540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90015744).

63672540 is an abundant number, since it is smaller than the sum of its proper divisors (116358948).

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

63672540 is a wasteful number, since it uses less digits than its factorization.

63672540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10416 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 63672540 is about 7979.5075035995. The cubic root of 63672540 is about 399.3166248275.

The spelling of 63672540 in words is "sixty-three million, six hundred seventy-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 10303 20606 30909 41212 51515 61818 103030 123636 154545 206060 309090 618180 1061209 2122418 3183627 4244836 5306045 6367254 10612090 12734508 15918135 21224180 31836270 63672540