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1380627160 = 2351131127797
BaseRepresentation
bin101001001001010…
…1011001011011000
310120012220010102021
41102102223023120
510311420032120
6344555344224
746133065033
oct12222531330
93505803367
101380627160
11649367690
12326452074
13190057963
14d150c01a
1581319aaa
hex524ab2d8

1380627160 has 128 divisors (see below), whose sum is σ = 3530096640. Its totient is φ = 481420800.

The previous prime is 1380627151. The next prime is 1380627161. The reversal of 1380627160 is 617260831.

It is a super-2 number, since 2×13806271602 = 3812262709859331200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380627161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1731882 + ... + 1732678.

It is an arithmetic number, because the mean of its divisors is an integer number (27578880).

Almost surely, 21380627160 is an apocalyptic number.

1380627160 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 1380627160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765048320).

1380627160 is an abundant number, since it is smaller than the sum of its proper divisors (2149469480).

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

1380627160 is a wasteful number, since it uses less digits than its factorization.

1380627160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 1380627160 is about 37156.7915730086. The cubic root of 1380627160 is about 1113.5049129785.

Adding to 1380627160 its reverse (617260831), we get a palindrome (1997887991).

The spelling of 1380627160 in words is "one billion, three hundred eighty million, six hundred twenty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 127 155 220 248 254 310 341 440 508 620 635 682 797 1016 1240 1270 1364 1397 1594 1705 2540 2728 2794 3188 3410 3937 3985 5080 5588 6376 6820 6985 7874 7970 8767 11176 13640 13970 15748 15940 17534 19685 24707 27940 31496 31880 35068 39370 43307 43835 49414 55880 70136 78740 86614 87670 98828 101219 123535 157480 173228 175340 197656 202438 216535 247070 271777 346456 350680 404876 433070 494140 506095 543554 809752 866140 988280 1012190 1087108 1113409 1358885 1732280 2024380 2174216 2226818 2717770 3137789 4048760 4453636 5435540 5567045 6275578 8907272 10871080 11134090 12551156 15688945 22268180 25102312 31377890 34515679 44536360 62755780 69031358 125511560 138062716 172578395 276125432 345156790 690313580 1380627160