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201424520 = 23511736271
BaseRepresentation
bin11000000000101…
…11111010001000
3112001000102111102
430000113322020
5403031041040
631553120532
74664036333
oct1400277210
9461012442
10201424520
11a3776250
1257559148
133296580b
141ca7361a
1512a3b515
hexc017e88

201424520 has 64 divisors (see below), whose sum is σ = 501258240. Its totient is φ = 72230400.

The previous prime is 201424519. The next prime is 201424523. The reversal of 201424520 is 25424102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201424492 and 201424501.

It is not an unprimeable number, because it can be changed into a prime (201424523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28985 + ... + 35255.

It is an arithmetic number, because the mean of its divisors is an integer number (7832160).

Almost surely, 2201424520 is an apocalyptic number.

201424520 is a gapful number since it is divisible by the number (20) 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 201424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250629120).

201424520 is an abundant number, since it is smaller than the sum of its proper divisors (299833720).

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

201424520 is a wasteful number, since it uses less digits than its factorization.

201424520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 201424520 is about 14192.4106479484. The cubic root of 201424520 is about 586.1887047721.

Adding to 201424520 its reverse (25424102), we get a palindrome (226848622).

The spelling of 201424520 in words is "two hundred one million, four hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6271 6424 8030 12542 16060 25084 31355 32120 50168 62710 68981 125420 137962 250840 275924 344905 457783 551848 689810 915566 1379620 1831132 2288915 2759240 3662264 4577830 5035613 9155660 10071226 18311320 20142452 25178065 40284904 50356130 100712260 201424520