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424913130 = 2325171671663
BaseRepresentation
bin11001010100111…
…010100011101010
31002121112211020100
4121110322203222
51332234210010
6110055210230
713346462535
oct3124724352
91077484210
10424913130
111a8941584
12ba376976
136a0550b5
144060ba1c
15274852c0
hex1953a8ea

424913130 has 96 divisors (see below), whose sum is σ = 1177473024. Its totient is φ = 105942528.

The previous prime is 424913117. The next prime is 424913141. The reversal of 424913130 is 31319424.

424913130 is a `hidden beast` number, since 42 + 491 + 3 + 130 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 424913094 and 424913103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254679 + ... + 256341.

It is an arithmetic number, because the mean of its divisors is an integer number (12265344).

Almost surely, 2424913130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424913130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588736512).

424913130 is an abundant number, since it is smaller than the sum of its proper divisors (752559894).

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

424913130 is a wasteful number, since it uses less digits than its factorization.

424913130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 424913130 is about 20613.4211134397. The cubic root of 424913130 is about 751.7960687493.

The spelling of 424913130 in words is "four hundred twenty-four million, nine hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 167 170 255 306 334 501 510 765 835 1002 1503 1530 1663 1670 2505 2839 3006 3326 4989 5010 5678 7515 8315 8517 9978 14195 14967 15030 16630 17034 24945 25551 28271 28390 29934 42585 49890 51102 56542 74835 84813 85170 127755 141355 149670 169626 254439 255510 277721 282710 424065 508878 555442 833163 848130 1272195 1388605 1666326 2499489 2544390 2777210 4165815 4721257 4998978 8331630 9442514 12497445 14163771 23606285 24994890 28327542 42491313 47212570 70818855 84982626 141637710 212456565 424913130