Search a number
-
+
1372052136 = 233731312821
BaseRepresentation
bin101000111000111…
…1101101010101000
310112121202110200210
41101301331222220
510302221132021
6344051501120
746000152000
oct12161755250
93477673623
101372052136
11644540094
123235b77a0
1318b344890
14d0319000
15806c3e76
hex51c7daa8

1372052136 has 128 divisors (see below), whose sum is σ = 4308192000. Its totient is φ = 361831680.

The previous prime is 1372052117. The next prime is 1372052137. The reversal of 1372052136 is 6312502731.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1372052137) 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, 100606 + ... + 113426.

It is an arithmetic number, because the mean of its divisors is an integer number (33657750).

Almost surely, 21372052136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1372052136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154096000).

1372052136 is an abundant number, since it is smaller than the sum of its proper divisors (2936139864).

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

1372052136 is a wasteful number, since it uses less digits than its factorization.

1372052136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12864 (or 12846 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 1372052136 is about 37041.2221180673. Note that the first 3 decimals coincide. The cubic root of 1372052136 is about 1111.1948111555.

Adding to 1372052136 its reverse (6312502731), we get a palindrome (7684554867).

It can be divided in two parts, 13720 and 52136, that added together give a palindrome (65856).

The spelling of 1372052136 in words is "one billion, three hundred seventy-two million, fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 343 364 392 546 588 637 686 728 1029 1092 1176 1274 1372 1911 2058 2184 2548 2744 3822 4116 4459 5096 7644 8232 8918 12821 13377 15288 17836 25642 26754 35672 38463 51284 53508 76926 89747 102568 107016 153852 166673 179494 269241 307704 333346 358988 500019 538482 628229 666692 717976 1000038 1076964 1166711 1256458 1333384 1884687 2000076 2153928 2333422 2512916 3500133 3769374 4000152 4397603 4666844 5025832 7000266 7538748 8166977 8795206 9333688 13192809 14000532 15077496 16333954 17590412 24500931 26385618 28001064 32667908 35180824 49001862 52771236 57168839 65335816 98003724 105542472 114337678 171506517 196007448 228675356 343013034 457350712 686026068 1372052136