Search a number
-
+
414916136 = 232310321893
BaseRepresentation
bin11000101110110…
…001111000101000
31001220201220221022
4120232301320220
51322204304021
6105101032012
713165505015
oct3056617050
91056656838
10414916136
111a32336a8
12b6b55608
1367c64a0b
143d16870c
152665d1ab
hex18bb1e28

414916136 has 32 divisors (see below), whose sum is σ = 819711360. Its totient is φ = 196502592.

The previous prime is 414916133. The next prime is 414916153. The reversal of 414916136 is 631619414.

It is a junction number, because it is equal to n+sod(n) for n = 414916096 and 414916105.

It is not an unprimeable number, because it can be changed into a prime (414916133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8006 + ... + 29898.

It is an arithmetic number, because the mean of its divisors is an integer number (25615980).

Almost surely, 2414916136 is an apocalyptic number.

414916136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

414916136 is a deficient number, since it is larger than the sum of its proper divisors (404795224).

414916136 is a wasteful number, since it uses less digits than its factorization.

414916136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22025 (or 22021 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 414916136 is about 20369.4903225388. The cubic root of 414916136 is about 745.8533446590.

The spelling of 414916136 in words is "four hundred fourteen million, nine hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 23 46 92 103 184 206 412 824 2369 4738 9476 18952 21893 43786 87572 175144 503539 1007078 2014156 2254979 4028312 4509958 9019916 18039832 51864517 103729034 207458068 414916136