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63050040 = 23325434073
BaseRepresentation
bin1111000010000…
…1000100111000
311101122021101200
43300201010320
5112120100130
610131214200
71363626234
oct360410470
9141567350
1063050040
1132654479
1219147360
13100a7321
1485335c4
155806760
hex3c21138

63050040 has 96 divisors (see below), whose sum is σ = 209729520. Its totient is φ = 16418304.

The previous prime is 63050021. The next prime is 63050041. The reversal of 63050040 is 4005036.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 63049995 and 63050022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63050041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13444 + ... + 17516.

Almost surely, 263050040 is an apocalyptic number.

63050040 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 63050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104864760).

63050040 is an abundant number, since it is smaller than the sum of its proper divisors (146679480).

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

63050040 is a wasteful number, since it uses less digits than its factorization.

63050040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 63050040 is about 7940.4055312056. The cubic root of 63050040 is about 398.0110431858.

Adding to 63050040 its reverse (4005036), we get a palindrome (67055076).

The spelling of 63050040 in words is "sixty-three million, fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 4073 5160 7740 8146 12219 15480 16292 20365 24438 32584 36657 40730 48876 61095 73314 81460 97752 122190 146628 162920 175139 183285 244380 293256 350278 366570 488760 525417 700556 733140 875695 1050834 1401112 1466280 1576251 1751390 2101668 2627085 3152502 3502780 4203336 5254170 6305004 7005560 7881255 10508340 12610008 15762510 21016680 31525020 63050040