Search a number
-
+
1382140960 = 2558638381
BaseRepresentation
bin101001001100001…
…1100110000100000
310120022202000221221
41102120130300200
510312312002320
6345052024424
746152001324
oct12230346040
93508660857
101382140960
1164a200a62
12326a62114
131904679b5
14d17c3984
15815183aa
hex5261cc20

1382140960 has 24 divisors (see below), whose sum is σ = 3265308396. Its totient is φ = 552856320.

The previous prime is 1382140933. The next prime is 1382140961. The reversal of 1382140960 is 690412831.

It can be written as a sum of positive squares in 2 ways, for example, as 1194670096 + 187470864 = 34564^2 + 13692^2 .

It is not an unprimeable number, because it can be changed into a prime (1382140961) 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 3 ways as a sum of consecutive naturals, for example, 4319031 + ... + 4319350.

Almost surely, 21382140960 is an apocalyptic number.

1382140960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1382140960 is an abundant number, since it is smaller than the sum of its proper divisors (1883167436).

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

1382140960 is an equidigital number, since it uses as much as digits as its factorization.

1382140960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8638396 (or 8638388 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1382140960 is about 37177.1564270319. The cubic root of 1382140960 is about 1113.9117348657.

The spelling of 1382140960 in words is "one billion, three hundred eighty-two million, one hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 8638381 17276762 34553524 43191905 69107048 86383810 138214096 172767620 276428192 345535240 691070480 1382140960