Search a number
-
+
1382461080 = 23357111317677
BaseRepresentation
bin101001001100110…
…1010111010011000
310120100100022002020
41102121222322120
510312402223310
6345102534440
746154503530
oct12231527230
93510308066
101382461080
1164a3aa520
12326b97420
1319054a610
14d18684c0
158157d170
hex5266ae98

1382461080 has 512 divisors, whose sum is σ = 5904783360. Its totient is φ = 249200640.

The previous prime is 1382461043. The next prime is 1382461127. The reversal of 1382461080 is 801642831.

It is a super-2 number, since 2×13824610802 = 3822397275429532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2041702 + ... + 2042378.

It is an arithmetic number, because the mean of its divisors is an integer number (11532780).

Almost surely, 21382461080 is an apocalyptic number.

1382461080 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 1382461080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952391680).

1382461080 is an abundant number, since it is smaller than the sum of its proper divisors (4522322280).

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

1382461080 is a wasteful number, since it uses less digits than its factorization.

1382461080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1382461080 is about 37181.4615097363. The cubic root of 1382461080 is about 1113.9977265526.

The spelling of 1382461080 in words is "one billion, three hundred eighty-two million, four hundred sixty-one thousand, eighty".