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1380219968 = 26291136581
BaseRepresentation
bin101001001000100…
…0111110001000000
310120012010102212002
41102101013301000
510311314014333
6344542523132
746126450631
oct12221076100
93505112762
101380219968
11649109766
123262964a8
1318cc4450a
14d1443888
15812890e8
hex52447c40

1380219968 has 56 divisors (see below), whose sum is σ = 2858825880. Its totient is φ = 660316160.

The previous prime is 1380219961. The next prime is 1380220013. The reversal of 1380219968 is 8699120831.

It can be written as a sum of positive squares in 4 ways, for example, as 4700224 + 1375519744 = 2168^2 + 37088^2 .

It is not an unprimeable number, because it can be changed into a prime (1380219961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206438 + ... + 213018.

Almost surely, 21380219968 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 1380219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429412940).

1380219968 is an abundant number, since it is smaller than the sum of its proper divisors (1478605912).

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

1380219968 is a wasteful number, since it uses less digits than its factorization.

1380219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 1380219968 is about 37151.3117937981. The cubic root of 1380219968 is about 1113.3954325703.

The spelling of 1380219968 in words is "one billion, three hundred eighty million, two hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 113 116 226 232 452 464 904 928 1808 1856 3277 3616 6554 6581 7232 13108 13162 26216 26324 52432 52648 104864 105296 190849 209728 210592 381698 421184 743653 763396 1487306 1526792 2974612 3053584 5949224 6107168 11898448 12214336 21565937 23796896 43131874 47593792 86263748 172527496 345054992 690109984 1380219968