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424605240 = 23345294519
BaseRepresentation
bin11001010011101…
…111011000111000
31002120222011220000
4121103233120320
51332144331430
6110044433000
713344041103
oct3123573070
91076864800
10424605240
111a8751224
12ba248760
1369c77c07
144056b73a
1527423e60
hex194ef638

424605240 has 160 divisors (see below), whose sum is σ = 1476684000. Its totient is φ = 109299456.

The previous prime is 424605227. The next prime is 424605271. The reversal of 424605240 is 42506424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91701 + ... + 96219.

It is an arithmetic number, because the mean of its divisors is an integer number (9229275).

Almost surely, 2424605240 is an apocalyptic number.

424605240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424605240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738342000).

424605240 is an abundant number, since it is smaller than the sum of its proper divisors (1052078760).

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

424605240 is a wasteful number, since it uses less digits than its factorization.

424605240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 424605240 is about 20605.9515674477. The cubic root of 424605240 is about 751.6144422746.

The spelling of 424605240 in words is "four hundred twenty-four million, six hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1566 1620 1740 2088 2349 2610 3132 3240 3480 3915 4519 4698 5220 6264 7830 9038 9396 10440 11745 13557 15660 18076 18792 22595 23490 27114 31320 36152 40671 45190 46980 54228 67785 81342 90380 93960 108456 122013 131051 135570 162684 180760 203355 244026 262102 271140 325368 366039 393153 406710 488052 524204 542280 610065 655255 732078 786306 813420 976104 1048408 1179459 1220130 1310510 1464156 1572612 1626840 1830195 1965765 2358918 2440260 2621020 2928312 3145224 3538377 3660390 3931530 4717836 4880520 5242040 5897295 7076754 7320780 7863060 9435672 10615131 11794590 14153508 14641560 15726120 17691885 21230262 23589180 28307016 35383770 42460524 47178360 53075655 70767540 84921048 106151310 141535080 212302620 424605240