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574412940 = 2232519533169
BaseRepresentation
bin100010001111001…
…101100010001100
31111000212012102100
4202033031202030
52134022203230
6132555355100
720143300203
oct4217154214
91430765370
10574412940
11275271a42
12140452a90
139200a41a
145640623a
1535666660
hex223cd88c

574412940 has 144 divisors (see below), whose sum is σ = 1869285600. Its totient is φ = 142331904.

The previous prime is 574412929. The next prime is 574412941. The reversal of 574412940 is 49214475.

It is a happy number.

574412940 is a `hidden beast` number, since 574 + 41 + 2 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 574412895 and 574412904.

It is not an unprimeable number, because it can be changed into a prime (574412941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179676 + ... + 182844.

It is an arithmetic number, because the mean of its divisors is an integer number (12981150).

Almost surely, 2574412940 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 574412940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934642800).

574412940 is an abundant number, since it is smaller than the sum of its proper divisors (1294872660).

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

574412940 is a wasteful number, since it uses less digits than its factorization.

574412940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 574412940 is about 23966.9134433285. The cubic root of 574412940 is about 831.2686555068.

The spelling of 574412940 in words is "five hundred seventy-four million, four hundred twelve thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 228 265 285 318 342 380 477 530 570 636 684 795 855 954 1007 1060 1140 1590 1710 1908 2014 2385 3021 3169 3180 3420 4028 4770 5035 6042 6338 9063 9507 9540 10070 12084 12676 15105 15845 18126 19014 20140 28521 30210 31690 36252 38028 45315 47535 57042 60211 60420 63380 90630 95070 114084 120422 142605 167957 180633 181260 190140 240844 285210 301055 335914 361266 503871 541899 570420 602110 671828 722532 839785 903165 1007742 1083798 1204220 1511613 1679570 1806330 2015484 2167596 2519355 2709495 3023226 3191183 3359140 3612660 5038710 5418990 6046452 6382366 7558065 9573549 10077420 10837980 12764732 15116130 15955915 19147098 28720647 30232260 31911830 38294196 47867745 57441294 63823660 95735490 114882588 143603235 191470980 287206470 574412940