Search a number
-
+
63873540 = 22325734861
BaseRepresentation
bin1111001110101…
…0001000000100
311110012010000200
43303222020010
5112322423130
610201010500
71403626143
oct363521004
9143163020
1063873540
1133067155
1219483a30
13103050c3
1486a975a
15591a760
hex3cea204

63873540 has 72 divisors (see below), whose sum is σ = 196444248. Its totient is φ = 16796160.

The previous prime is 63873521. The next prime is 63873559. The reversal of 63873540 is 4537836.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (63873521) and next prime (63873559).

It can be written as a sum of positive squares in 4 ways, for example, as 20629764 + 43243776 = 4542^2 + 6576^2 .

It is a super-2 number, since 2×638735402 = 8159658224263200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 63873495 and 63873504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10710 + ... + 15570.

Almost surely, 263873540 is an apocalyptic number.

63873540 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 63873540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98222124).

63873540 is an abundant number, since it is smaller than the sum of its proper divisors (132570708).

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

63873540 is a wasteful number, since it uses less digits than its factorization.

63873540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 63873540 is about 7992.0923418089. The cubic root of 63873540 is about 399.7363679502.

The spelling of 63873540 in words is "sixty-three million, eight hundred seventy-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 4861 6570 9722 13140 14583 19444 24305 29166 43749 48610 58332 72915 87498 97220 145830 174996 218745 291660 354853 437490 709706 874980 1064559 1419412 1774265 2129118 3193677 3548530 4258236 5322795 6387354 7097060 10645590 12774708 15968385 21291180 31936770 63873540