Search a number
-
+
13620242430 = 2325283353419
BaseRepresentation
bin11001010111101010…
…00110011111111110
31022011012220000010100
430223311012133332
5210343240224210
610131305021530
7661344102414
oct145365063776
938135800110
1013620242430
11585a2a9803
1227814848a6
131390a37162
14932ca12b4
1554ab1c5c0
hex32bd467fe

13620242430 has 48 divisors (see below), whose sum is σ = 35425793520. Its totient is φ = 3630714624.

The previous prime is 13620242407. The next prime is 13620242437. The reversal of 13620242430 is 3424202631.

13620242430 is a `hidden beast` number, since 1 + 3 + 6 + 202 + 424 + 30 = 666.

It is a super-2 number, since 2×136202424302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13620242394 and 13620242403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13620242437) 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, 228261 + ... + 281679.

It is an arithmetic number, because the mean of its divisors is an integer number (738037365).

Almost surely, 213620242430 is an apocalyptic number.

13620242430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13620242430 is an abundant number, since it is smaller than the sum of its proper divisors (21805551090).

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

13620242430 is a wasteful number, since it uses less digits than its factorization.

13620242430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56265 (or 56262 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 13620242430 in words is "thirteen billion, six hundred twenty million, two hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2833 5666 8499 14165 16998 25497 28330 42495 50994 53419 84990 106838 127485 160257 254970 267095 320514 480771 534190 801285 961542 1602570 2403855 4807710 151336027 302672054 454008081 756680135 908016162 1362024243 1513360270 2270040405 2724048486 4540080810 6810121215 13620242430