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424020240 = 24325784131
BaseRepresentation
bin11001010001100…
…000100100010000
31002112212110102100
4121101200210100
51332022121430
6110024120400
713336053420
oct3121404420
91075773370
10424020240
111a8391756
12ba006100
1369b01867
1440458480
152735a960
hex19460910

424020240 has 120 divisors (see below), whose sum is σ = 1627449408. Its totient is φ = 96917760.

The previous prime is 424020209. The next prime is 424020241. The reversal of 424020240 is 42020424.

424020240 is a `hidden beast` number, since 424 + 0 + 2 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (424020241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37026 + ... + 47105.

Almost surely, 2424020240 is an apocalyptic number.

424020240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424020240 is an abundant number, since it is smaller than the sum of its proper divisors (1203429168).

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

424020240 is a wasteful number, since it uses less digits than its factorization.

424020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84157 (or 84148 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 424020240 is about 20591.7517467553. The cubic root of 424020240 is about 751.2691046200.

Adding to 424020240 its reverse (42020424), we get a palindrome (466040664).

The spelling of 424020240 in words is "four hundred twenty-four million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 84131 168262 252393 336524 420655 504786 588917 673048 757179 841310 1009572 1177834 1261965 1346096 1514358 1682620 1766751 2019144 2355668 2523930 2944585 3028716 3365240 3533502 3785895 4038288 4711336 5047860 5300253 5889170 6057432 6730480 7067004 7571790 8833755 9422672 10095720 10600506 11778340 12114864 14134008 15143580 17667510 20191440 21201012 23556680 26501265 28268016 30287160 35335020 42402024 47113360 53002530 60574320 70670040 84804048 106005060 141340080 212010120 424020240