Search a number
-
+
61106040 = 23325269631
BaseRepresentation
bin1110100100011…
…0011101111000
311020222111201200
43221012131320
5111120343130
610021414200
71341251502
oct351063570
9136874650
1061106040
1131546966
121856a360
13c876528
148188d72
155570760
hex3a46778

61106040 has 96 divisors (see below), whose sum is σ = 199648800. Its totient is φ = 16208640.

The previous prime is 61106039. The next prime is 61106047. The reversal of 61106040 is 4060116.

61106040 is a `hidden beast` number, since 61 + 1 + 0 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61106047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96525 + ... + 97155.

It is an arithmetic number, because the mean of its divisors is an integer number (2079675).

Almost surely, 261106040 is an apocalyptic number.

61106040 is a gapful number since it is divisible by the number (60) 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 61106040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99824400).

61106040 is an abundant number, since it is smaller than the sum of its proper divisors (138542760).

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

61106040 is a wasteful number, since it uses less digits than its factorization.

61106040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61106040 is about 7817.0352436202. The cubic root of 61106040 is about 393.8776879908.

Adding to 61106040 its reverse (4060116), we get a palindrome (65166156).

The spelling of 61106040 in words is "sixty-one million, one hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 269 360 538 631 807 1076 1262 1345 1614 1893 2152 2421 2524 2690 3155 3228 3786 4035 4842 5048 5380 5679 6310 6456 7572 8070 9465 9684 10760 11358 12105 12620 15144 16140 18930 19368 22716 24210 25240 28395 32280 37860 45432 48420 56790 75720 96840 113580 169739 227160 339478 509217 678956 848695 1018434 1357912 1527651 1697390 2036868 2546085 3055302 3394780 4073736 5092170 6110604 6789560 7638255 10184340 12221208 15276510 20368680 30553020 61106040