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270083424 = 25313375849
BaseRepresentation
bin10000000110010…
…010010101100000
3200211012122210210
4100012102111200
51023120132144
642444454120
76456446142
oct2006222540
9624178723
10270083424
11129500746
127654a340
1343c54aa0
1427c26c92
1518a9eab9
hex10192560

270083424 has 96 divisors (see below), whose sum is σ = 784274400. Its totient is φ = 80842752.

The previous prime is 270083399. The next prime is 270083459. The reversal of 270083424 is 424380072.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 270083391 and 270083400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43252 + ... + 49100.

It is an arithmetic number, because the mean of its divisors is an integer number (8169525).

Almost surely, 2270083424 is an apocalyptic number.

270083424 is a gapful number since it is divisible by the number (24) 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 270083424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392137200).

270083424 is an abundant number, since it is smaller than the sum of its proper divisors (514190976).

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

270083424 is a wasteful number, since it uses less digits than its factorization.

270083424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 270083424 is about 16434.2150405792. The cubic root of 270083424 is about 646.3969673991.

The spelling of 270083424 in words is "two hundred seventy million, eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 208 222 296 312 416 444 481 592 624 888 962 1184 1248 1443 1776 1924 2886 3552 3848 5772 5849 7696 11544 11698 15392 17547 23088 23396 35094 46176 46792 70188 76037 93584 140376 152074 187168 216413 228111 280752 304148 432826 456222 561504 608296 649239 865652 912444 1216592 1298478 1731304 1824888 2433184 2596956 2813369 3462608 3649776 5193912 5626738 6925216 7299552 8440107 10387824 11253476 16880214 20775648 22506952 33760428 45013904 67520856 90027808 135041712 270083424