Search a number
-
+
136871964 = 223317127587
BaseRepresentation
bin10000010100010…
…00000000011100
3100112112211001000
420022020000130
5240014400324
621325350300
73251251425
oct1012100034
9315484030
10136871964
1170295a29
1239a08390
1322483638
141426c64c
15c0399c9
hex828801c

136871964 has 96 divisors (see below), whose sum is σ = 379330560. Its totient is φ = 42529536.

The previous prime is 136871963. The next prime is 136871971. The reversal of 136871964 is 469178631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136871963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232879 + ... + 233465.

It is an arithmetic number, because the mean of its divisors is an integer number (3951360).

Almost surely, 2136871964 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 136871964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

136871964 is an abundant number, since it is smaller than the sum of its proper divisors (242458596).

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

136871964 is a wasteful number, since it uses less digits than its factorization.

136871964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 736 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 136871964 is about 11699.2292053793. The cubic root of 136871964 is about 515.3530290676.

It can be divided in two parts, 13687 and 1964, that added together give a palindrome (15651).

The spelling of 136871964 in words is "one hundred thirty-six million, eight hundred seventy-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 127 153 204 254 306 381 459 508 587 612 762 918 1143 1174 1524 1761 1836 2159 2286 2348 3429 3522 4318 4572 5283 6477 6858 7044 8636 9979 10566 12954 13716 15849 19431 19958 21132 25908 29937 31698 38862 39916 58293 59874 63396 74549 77724 89811 116586 119748 149098 179622 223647 233172 269433 298196 359244 447294 538866 670941 894588 1077732 1267333 1341882 2012823 2534666 2683764 3801999 4025646 5069332 7603998 8051292 11405997 15207996 22811994 34217991 45623988 68435982 136871964