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424201120 = 2557675653
BaseRepresentation
bin11001010010001…
…100101110100000
31002120012122112121
4121102030232200
51332043413440
6110032034024
713340435650
oct3122145640
91076178477
10424201120
111a84a5642
12ba092914
1369b65ca5
14404a4360
152739434a
hex1948cba0

424201120 has 96 divisors (see below), whose sum is σ = 1162643328. Its totient is φ = 143244288.

The previous prime is 424201103. The next prime is 424201123. The reversal of 424201120 is 21102424.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 424201094 and 424201103.

It is not an unprimeable number, because it can be changed into a prime (424201123) 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, 72214 + ... + 77866.

It is an arithmetic number, because the mean of its divisors is an integer number (12110868).

Almost surely, 2424201120 is an apocalyptic number.

424201120 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 424201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581321664).

424201120 is an abundant number, since it is smaller than the sum of its proper divisors (738442208).

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

424201120 is a wasteful number, since it uses less digits than its factorization.

424201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 424201120 is about 20596.1433283030. The cubic root of 424201120 is about 751.3759157457.

Adding to 424201120 its reverse (21102424), we get a palindrome (445303544).

The spelling of 424201120 in words is "four hundred twenty-four million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 160 224 268 280 335 469 536 560 670 938 1072 1120 1340 1876 2144 2345 2680 3752 4690 5360 5653 7504 9380 10720 11306 15008 18760 22612 28265 37520 39571 45224 56530 75040 79142 90448 113060 158284 180896 197855 226120 316568 378751 395710 452240 633136 757502 791420 904480 1266272 1515004 1582840 1893755 2651257 3030008 3165680 3787510 5302514 6060016 6331360 7575020 10605028 12120032 13256285 15150040 21210056 26512570 30300080 42420112 53025140 60600160 84840224 106050280 212100560 424201120