Search a number
-
+
1381590912 = 273131032687
BaseRepresentation
bin101001001011001…
…0110011110000000
310120021201002102210
41102112112132000
510312141402122
6345032142120
746144220562
oct12226263600
93507632383
101381590912
11649965779
12326837940
13190304520
14d16bd332
158145a40c
hex52596780

1381590912 has 128 divisors (see below), whose sum is σ = 3992002560. Its totient is φ = 420820992.

The previous prime is 1381590911. The next prime is 1381590913. The reversal of 1381590912 is 2190951831.

It is an interprime number because it is at equal distance from previous prime (1381590911) and next prime (1381590913).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381590911) 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 15 ways as a sum of consecutive naturals, for example, 512833 + ... + 515519.

It is an arithmetic number, because the mean of its divisors is an integer number (31187520).

Almost surely, 21381590912 is an apocalyptic number.

1381590912 is a gapful number since it is divisible by the number (12) 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 1381590912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996001280).

1381590912 is an abundant number, since it is smaller than the sum of its proper divisors (2610411648).

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

1381590912 is a wasteful number, since it uses less digits than its factorization.

1381590912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 1381590912 is about 37169.7580298823. The cubic root of 1381590912 is about 1113.7639481501.

The spelling of 1381590912 in words is "one billion, three hundred eighty-one million, five hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 128 156 192 206 208 309 312 384 412 416 618 624 824 832 1236 1248 1339 1648 1664 2472 2496 2678 2687 3296 4017 4944 4992 5356 5374 6592 8034 8061 9888 10712 10748 13184 16068 16122 19776 21424 21496 32136 32244 34931 39552 42848 42992 64272 64488 69862 85696 85984 104793 128544 128976 139724 171392 171968 209586 257088 257952 276761 279448 343936 419172 514176 515904 553522 558896 830283 838344 1031808 1107044 1117792 1660566 1676688 2214088 2235584 3321132 3353376 3597893 4428176 4471168 6642264 6706752 7195786 8856352 10793679 13284528 13413504 14391572 17712704 21587358 26569056 28783144 35425408 43174716 53138112 57566288 86349432 106276224 115132576 172698864 230265152 345397728 460530304 690795456 1381590912