Search a number
-
+
1380885200 = 245218119073
BaseRepresentation
bin101001001001110…
…1010001011010000
310120020101020101022
41102103222023100
510312001311300
6345005055012
746135221242
oct12223521320
93506336338
101380885200
11649523542
12326557468
13190118246
14d1578092
158136b285
hex524ea2d0

1380885200 has 60 divisors (see below), whose sum is σ = 3336080748. Its totient is φ = 549273600.

The previous prime is 1380885169. The next prime is 1380885203. The reversal of 1380885200 is 25880831.

It can be written as a sum of positive squares in 6 ways, for example, as 735928384 + 644956816 = 27128^2 + 25396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380885203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62864 + ... + 81936.

Almost surely, 21380885200 is an apocalyptic number.

1380885200 is a gapful number since it is divisible by the number (10) 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 1380885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668040374).

1380885200 is an abundant number, since it is smaller than the sum of its proper divisors (1955195548).

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

1380885200 is a wasteful number, since it uses less digits than its factorization.

1380885200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19272 (or 19261 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 1380885200 is about 37160.2637234991. The cubic root of 1380885200 is about 1113.5742802238.

The spelling of 1380885200 in words is "one billion, three hundred eighty million, eight hundred eighty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 181 200 362 400 724 905 1448 1810 2896 3620 4525 7240 9050 14480 18100 19073 36200 38146 72400 76292 95365 152584 190730 305168 381460 476825 762920 953650 1525840 1907300 3452213 3814600 6904426 7629200 13808852 17261065 27617704 34522130 55235408 69044260 86305325 138088520 172610650 276177040 345221300 690442600 1380885200