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264027420 = 223251977201
BaseRepresentation
bin11111011110010…
…11110100011100
3200101210222112100
433233023310130
51020042334140
642111005100
76354124146
oct1757136434
9611728470
10264027420
11126044788
1274509790
1342914457
14270cbc96
15182a5530
hexfbcbd1c

264027420 has 72 divisors (see below), whose sum is σ = 843045840. Its totient is φ = 66700800.

The previous prime is 264027389. The next prime is 264027431. The reversal of 264027420 is 24720462.

It is a happy number.

264027420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2640274203 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35181 + ... + 42020.

It is an arithmetic number, because the mean of its divisors is an integer number (11708970).

Almost surely, 2264027420 is an apocalyptic number.

264027420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264027420 is an abundant number, since it is smaller than the sum of its proper divisors (579018420).

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

264027420 is a wasteful number, since it uses less digits than its factorization.

264027420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77235 (or 77230 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 264027420 is about 16248.9205795339. The cubic root of 264027420 is about 641.5290749756.

Adding to 264027420 its reverse (24720462), we get a palindrome (288747882).

The spelling of 264027420 in words is "two hundred sixty-four million, twenty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 77201 154402 231603 308804 386005 463206 694809 772010 926412 1158015 1389618 1466819 1544020 2316030 2779236 2933638 3474045 4400457 4632060 5867276 6948090 7334095 8800914 13201371 13896180 14668190 17601828 22002285 26402742 29336380 44004570 52805484 66006855 88009140 132013710 264027420