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424041000 = 233531071321
BaseRepresentation
bin11001010001100…
…101101000101000
31002112220111220020
4121101211220220
51332023303000
6110024400440
713336201065
oct3121455050
91075814806
10424041000
111a83a6309
12ba016120
1369b0b146
1440461c6c
1527361ba0
hex19465a28

424041000 has 128 divisors (see below), whose sum is σ = 1336383360. Its totient is φ = 111936000.

The previous prime is 424040999. The next prime is 424041001. The reversal of 424041000 is 140424.

It is an interprime number because it is at equal distance from previous prime (424040999) and next prime (424041001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424041001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320340 + ... + 321660.

It is an arithmetic number, because the mean of its divisors is an integer number (10440495).

Almost surely, 2424041000 is an apocalyptic number.

424041000 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 424041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668191680).

424041000 is an abundant number, since it is smaller than the sum of its proper divisors (912342360).

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

424041000 is a wasteful number, since it uses less digits than its factorization.

424041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 424041000 is about 20592.2558259167. The cubic root of 424041000 is about 751.2813651134.

Adding to 424041000 its reverse (140424), we get a palindrome (424181424).

The spelling of 424041000 in words is "four hundred twenty-four million, forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 125 150 200 214 250 300 321 375 428 500 535 600 642 750 856 1000 1070 1284 1321 1500 1605 2140 2568 2642 2675 3000 3210 3963 4280 5284 5350 6420 6605 7926 8025 10568 10700 12840 13210 13375 15852 16050 19815 21400 26420 26750 31704 32100 33025 39630 40125 52840 53500 64200 66050 79260 80250 99075 107000 132100 141347 158520 160500 165125 198150 264200 282694 321000 330250 396300 424041 495375 565388 660500 706735 792600 848082 990750 1130776 1321000 1413470 1696164 1981500 2120205 2826940 3392328 3533675 3963000 4240410 5653880 7067350 8480820 10601025 14134700 16961640 17668375 21202050 28269400 35336750 42404100 53005125 70673500 84808200 106010250 141347000 212020500 424041000