Search a number
-
+
1375646142 = 2313231107409
BaseRepresentation
bin101000111111110…
…1011000110111110
310112212112001202010
41101333223012332
510304131134032
6344300512050
746042541103
oct12177530676
93485461663
101375646142
11646575342
1232484b626
1318c002700
14d09b2aaa
1580b83ccc
hex51feb1be

1375646142 has 96 divisors (see below), whose sum is σ = 3111644160. Its totient is φ = 404801280.

The previous prime is 1375646141. The next prime is 1375646201. The reversal of 1375646142 is 2416465731.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1375646142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375646141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3363234 + ... + 3363642.

It is an arithmetic number, because the mean of its divisors is an integer number (32412960).

Almost surely, 21375646142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375646142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555822080).

1375646142 is an abundant number, since it is smaller than the sum of its proper divisors (1735998018).

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

1375646142 is a wasteful number, since it uses less digits than its factorization.

1375646142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 565 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 1375646142 is about 37089.7039891127. The cubic root of 1375646142 is about 1112.1642006676.

The spelling of 1375646142 in words is "one billion, three hundred seventy-five million, six hundred forty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 107 169 186 214 321 338 403 409 507 642 806 818 1014 1209 1227 1391 2418 2454 2782 3317 4173 5239 5317 6634 8346 9951 10478 10634 12679 15717 15951 18083 19902 25358 31434 31902 36166 38037 43121 43763 54249 69121 76074 86242 87526 108498 129363 131289 138242 164827 207363 258726 262578 329654 414726 494481 560573 568919 988962 1121146 1137838 1356653 1681719 1706757 2142751 2713306 3363438 3413514 4069959 4285502 6428253 7395947 8139918 12856506 14791894 17636489 22187841 35272978 44375682 52909467 105818934 229274357 458548714 687823071 1375646142