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63423540 = 22335671753
BaseRepresentation
bin1111000111110…
…0010000110100
311102100020202000
43301330100310
5112214023130
610143215300
71400043165
oct361742064
9142306660
1063423540
113288a054
12192a7530
13101a832b
1485cd76c
15587c260
hex3c7c434

63423540 has 96 divisors (see below), whose sum is σ = 200376960. Its totient is φ = 16651008.

The previous prime is 63423533. The next prime is 63423541. The reversal of 63423540 is 4532436.

63423540 is a `hidden beast` number, since 634 + 23 + 5 + 4 + 0 = 666.

63423540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×634235402 = 8045090852263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63423541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35304 + ... + 37056.

It is an arithmetic number, because the mean of its divisors is an integer number (2087260).

Almost surely, 263423540 is an apocalyptic number.

63423540 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 63423540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100188480).

63423540 is an abundant number, since it is smaller than the sum of its proper divisors (136953420).

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

63423540 is a wasteful number, since it uses less digits than its factorization.

63423540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 63423540 is about 7963.8897531294. The cubic root of 63423540 is about 398.7954177621.

Adding to 63423540 its reverse (4532436), we get a palindrome (67955976).

The spelling of 63423540 in words is "sixty-three million, four hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1753 1809 2010 2412 3015 3506 3618 4020 5259 6030 7012 7236 8765 9045 10518 12060 15777 17530 18090 21036 26295 31554 35060 36180 47331 52590 63108 78885 94662 105180 117451 157770 189324 234902 236655 315540 352353 469804 473310 587255 704706 946620 1057059 1174510 1409412 1761765 2114118 2349020 3171177 3523530 4228236 5285295 6342354 7047060 10570590 12684708 15855885 21141180 31711770 63423540