Search a number
-
+
136854872 = 237112191063
BaseRepresentation
bin10000010100000…
…11110101011000
3100112111221120222
420022003311120
5240013323442
621325135212
73251150540
oct1012036530
9315457528
10136854872
1170284100
12399ba508
132247891b
1414266320
15c0348d2
hex8283d58

136854872 has 96 divisors (see below), whose sum is σ = 339628800. Its totient is φ = 50466240.

The previous prime is 136854871. The next prime is 136854881. The reversal of 136854872 is 278458631.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136854871) 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, 128213 + ... + 129275.

It is an arithmetic number, because the mean of its divisors is an integer number (3537800).

Almost surely, 2136854872 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 136854872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169814400).

136854872 is an abundant number, since it is smaller than the sum of its proper divisors (202773928).

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

136854872 is a wasteful number, since it uses less digits than its factorization.

136854872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1102 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 136854872 is about 11698.4987070991. The cubic root of 136854872 is about 515.3315764624.

It can be divided in two parts, 1368 and 54872, that multiplied together give a square (75064896 = 86642).

The spelling of 136854872 in words is "one hundred thirty-six million, eight hundred fifty-four thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 121 133 152 154 209 242 266 308 418 484 532 616 836 847 968 1063 1064 1463 1672 1694 2126 2299 2926 3388 4252 4598 5852 6776 7441 8504 9196 11693 11704 14882 16093 18392 20197 23386 29764 32186 40394 46772 59528 64372 80788 81851 93544 128623 128744 141379 161576 163702 222167 257246 282758 327404 444334 514492 565516 654808 888668 900361 1028984 1131032 1555169 1777336 1800722 2443837 3110338 3601444 4887674 6220676 7202888 9775348 12441352 17106859 19550696 34213718 68427436 136854872