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614420920 = 235791271531
BaseRepresentation
bin100100100111110…
…101000110111000
31120211010211001101
4210213311012320
52224242432140
6140545101144
721140330431
oct4447650670
91524124041
10614420920
11295908593
121519277b4
139a3a7799
145b85c488
1538e1a99a
hex249f51b8

614420920 has 64 divisors (see below), whose sum is σ = 1411891200. Its totient is φ = 240589440.

The previous prime is 614420903. The next prime is 614420921. The reversal of 614420920 is 29024416.

614420920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614420921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400555 + ... + 402085.

It is an arithmetic number, because the mean of its divisors is an integer number (22060800).

Almost surely, 2614420920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 614420920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705945600).

614420920 is an abundant number, since it is smaller than the sum of its proper divisors (797470280).

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

614420920 is a wasteful number, since it uses less digits than its factorization.

614420920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 614420920 is about 24787.5154059458. The cubic root of 614420920 is about 850.1365040288.

The spelling of 614420920 in words is "six hundred fourteen million, four hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 127 158 254 316 395 508 632 635 790 1016 1270 1531 1580 2540 3062 3160 5080 6124 7655 10033 12248 15310 20066 30620 40132 50165 61240 80264 100330 120949 194437 200660 241898 388874 401320 483796 604745 777748 967592 972185 1209490 1555496 1944370 2418980 3888740 4837960 7777480 15360523 30721046 61442092 76802615 122884184 153605230 307210460 614420920