Search a number
-
+
424140120 = 233251178167
BaseRepresentation
bin11001010001111…
…101110101011000
31002120002112212100
4121101331311120
51332034440440
6110030443400
713340063055
oct3121756530
91076075770
10424140120
111a8463828
12ba063560
1369b442b1
144048a02c
1527381230
hex1947dd58

424140120 has 48 divisors (see below), whose sum is σ = 1378456560. Its totient is φ = 113103936.

The previous prime is 424140113. The next prime is 424140149. The reversal of 424140120 is 21041424.

424140120 is a `hidden beast` number, since 4 + 241 + 401 + 20 = 666.

It is a super-2 number, since 2×4241401202 = 359789682787228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 424140093 and 424140102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588724 + ... + 589443.

It is an arithmetic number, because the mean of its divisors is an integer number (28717845).

Almost surely, 2424140120 is an apocalyptic number.

424140120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424140120 is an abundant number, since it is smaller than the sum of its proper divisors (954316440).

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

424140120 is a wasteful number, since it uses less digits than its factorization.

424140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178184 (or 1178177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 424140120 is about 20594.6624152959. The cubic root of 424140120 is about 751.3398981385.

Adding to 424140120 its reverse (21041424), we get a palindrome (445181544).

The spelling of 424140120 in words is "four hundred twenty-four million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1178167 2356334 3534501 4712668 5890835 7069002 9425336 10603503 11781670 14138004 17672505 21207006 23563340 28276008 35345010 42414012 47126680 53017515 70690020 84828024 106035030 141380040 212070060 424140120