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1380239424 = 263211812029
BaseRepresentation
bin101001001000100…
…1100100001000000
310120012011102112200
41102101030201000
510311320130144
6344543153200
746126561434
oct12221144100
93505142480
101380239424
11649122343
123262a5800
1318cc50325
14d144a9c4
158128ec69
hex5244c840

1380239424 has 84 divisors (see below), whose sum is σ = 3961508460. Its totient is φ = 459463680.

The previous prime is 1380239411. The next prime is 1380239431. The reversal of 1380239424 is 4249320831.

1380239424 is a `hidden beast` number, since 1 + 380 + 239 + 42 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1330790400 + 49449024 = 36480^2 + 7032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 679242 + ... + 681270.

It is an arithmetic number, because the mean of its divisors is an integer number (47160815).

Almost surely, 21380239424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380239424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980754230).

1380239424 is an abundant number, since it is smaller than the sum of its proper divisors (2581269036).

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

1380239424 is a wasteful number, since it uses less digits than its factorization.

1380239424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1380239424 is about 37151.5736409644. The cubic root of 1380239424 is about 1113.4006641325.

The spelling of 1380239424 in words is "one billion, three hundred eighty million, two hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1181 2029 2362 3543 4058 4724 6087 7086 8116 9448 10629 12174 14172 16232 18261 18896 21258 24348 28344 32464 36522 37792 42516 48696 56688 64928 73044 75584 85032 97392 113376 129856 146088 170064 194784 226752 292176 340128 389568 584352 680256 1168704 2396249 4792498 7188747 9584996 14377494 19169992 21566241 28754988 38339984 43132482 57509976 76679968 86264964 115019952 153359936 172529928 230039904 345059856 460079808 690119712 1380239424