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63485040 = 2435833187
BaseRepresentation
bin1111001000101…
…1010001110000
311102110101002210
43302023101300
5112223010130
610144412120
71400420403
oct362132160
9142411083
1063485040
1132921283
1219317040
13101ca318
148607d3a
1558905b0
hex3c8b470

63485040 has 80 divisors (see below), whose sum is σ = 199237248. Its totient is φ = 16720128.

The previous prime is 63485039. The next prime is 63485041. The reversal of 63485040 is 4058436.

It is an interprime number because it is at equal distance from previous prime (63485039) and next prime (63485041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 63484989 and 63485007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63485041) 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, 18327 + ... + 21513.

Almost surely, 263485040 is an apocalyptic number.

63485040 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 63485040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99618624).

63485040 is an abundant number, since it is smaller than the sum of its proper divisors (135752208).

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

63485040 is a wasteful number, since it uses less digits than its factorization.

63485040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 63485040 is about 7967.7499960779. The cubic root of 63485040 is about 398.9242763064.

The spelling of 63485040 in words is "sixty-three million, four hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3187 3320 3984 4980 6374 6640 9561 9960 12748 15935 19122 19920 25496 31870 38244 47805 50992 63740 76488 95610 127480 152976 191220 254960 264521 382440 529042 764880 793563 1058084 1322605 1587126 2116168 2645210 3174252 3967815 4232336 5290420 6348504 7935630 10580840 12697008 15871260 21161680 31742520 63485040