Search a number
-
+
61122672 = 243213103317
BaseRepresentation
bin1110100100101…
…0100001110000
311021000100112200
43221022201300
5111121411142
610022023200
71341351132
oct351124160
9137010480
1061122672
1131558406
1218577b00
13c880c80
148191052
15557564c
hex3a4a870

61122672 has 120 divisors (see below), whose sum is σ = 186592224. Its totient is φ = 18565632.

The previous prime is 61122653. The next prime is 61122673. The reversal of 61122672 is 27622116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61122673) 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, 192658 + ... + 192974.

Almost surely, 261122672 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 61122672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93296112).

61122672 is an abundant number, since it is smaller than the sum of its proper divisors (125469552).

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

61122672 is a wasteful number, since it uses less digits than its factorization.

61122672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 61122672 is about 7818.0990016755. The cubic root of 61122672 is about 393.9134202984.

Adding to 61122672 its reverse (27622116), we get a palindrome (88744788).

The spelling of 61122672 in words is "sixty-one million, one hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 103 104 117 144 156 206 208 234 309 312 317 412 468 618 624 634 824 927 936 951 1236 1268 1339 1648 1854 1872 1902 2472 2536 2678 2853 3708 3804 4017 4121 4944 5072 5356 5706 7416 7608 8034 8242 10712 11412 12051 12363 14832 15216 16068 16484 21424 22824 24102 24726 32136 32651 32968 37089 45648 48204 49452 64272 65302 65936 74178 96408 97953 98904 130604 148356 192816 195906 197808 261208 293859 296712 391812 424463 522416 587718 593424 783624 848926 1175436 1273389 1567248 1697852 2350872 2546778 3395704 3820167 4701744 5093556 6791408 7640334 10187112 15280668 20374224 30561336 61122672