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1382439780 = 2232535321757
BaseRepresentation
bin101001001100110…
…0101101101100100
310120100022012212100
41102121211231210
510312401033110
6345102252100
746154354451
oct12231455544
93510265770
101382439780
1164a395517
12326b87030
13190540a07
14d1860828
1581576bc0
hex52665b64

1382439780 has 72 divisors (see below), whose sum is σ = 4205473272. Its totient is φ = 367589376.

The previous prime is 1382439749. The next prime is 1382439781. The reversal of 1382439780 is 879342831.

1382439780 is a `hidden beast` number, since 138 + 2 + 439 + 7 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 346629924 + 1035809856 = 18618^2 + 32184^2 .

It is a super-2 number, since 2×13824397802 = 3822279490652896800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1382439781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52662 + ... + 74418.

It is an arithmetic number, because the mean of its divisors is an integer number (58409351).

Almost surely, 21382439780 is an apocalyptic number.

1382439780 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 1382439780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102736636).

1382439780 is an abundant number, since it is smaller than the sum of its proper divisors (2823033492).

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

1382439780 is a wasteful number, since it uses less digits than its factorization.

1382439780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22125 (or 22120 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1382439780 is about 37181.1750755675. The cubic root of 1382439780 is about 1113.9920052889.

The spelling of 1382439780 in words is "one billion, three hundred eighty-two million, four hundred thirty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 10590 12708 15885 21180 21757 31770 43514 63540 65271 87028 108785 130542 195813 217570 261084 326355 391626 435140 652710 783252 979065 1305420 1958130 3916260 7680221 15360442 23040663 30720884 38401105 46081326 69121989 76802210 92162652 115203315 138243978 153604420 230406630 276487956 345609945 460813260 691219890 1382439780