Search a number
-
+
1372728336 = 243724091427
BaseRepresentation
bin101000111010010…
…0010110000010000
310112200000211021020
41101310202300100
510302404301321
6344114155440
746005666300
oct12164426020
93480024236
101372728336
11644962131
12323882b80
1318b5205b5
14d0453600
15807a94c6
hex51d22c10

1372728336 has 120 divisors (see below), whose sum is σ = 4138172640. Its totient is φ = 390974976.

The previous prime is 1372728317. The next prime is 1372728337. The reversal of 1372728336 is 6338272731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1372728337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 961255 + ... + 962681.

It is an arithmetic number, because the mean of its divisors is an integer number (34484772).

Almost surely, 21372728336 is an apocalyptic number.

1372728336 is a gapful number since it is divisible by the number (16) 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 1372728336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069086320).

1372728336 is an abundant number, since it is smaller than the sum of its proper divisors (2765444304).

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

1372728336 is a wasteful number, since it uses less digits than its factorization.

1372728336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1848 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 1372728336 is about 37050.3486623271. The cubic root of 1372728336 is about 1111.3773276715.

The spelling of 1372728336 in words is "one billion, three hundred seventy-two million, seven hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 409 588 784 818 1176 1227 1427 1636 2352 2454 2854 2863 3272 4281 4908 5708 5726 6544 8562 8589 9816 9989 11416 11452 17124 17178 19632 19978 20041 22832 22904 29967 34248 34356 39956 40082 45808 59934 60123 68496 68712 69923 79912 80164 119868 120246 137424 139846 159824 160328 209769 239736 240492 279692 320656 419538 479472 480984 559384 583643 839076 961968 1118768 1167286 1678152 1750929 2334572 3356304 3501858 4085501 4669144 7003716 8171002 9338288 12256503 14007432 16342004 24513006 28014864 28598507 32684008 49026012 57197014 65368016 85795521 98052024 114394028 171591042 196104048 228788056 343182084 457576112 686364168 1372728336