Search a number
-
+
61108614 = 2337413943
BaseRepresentation
bin1110100100011…
…1000110000110
311020222122021000
43221013012012
5111120433424
610021434130
71341262140
oct351070606
9136878230
1061108614
1131548896
121856b946
13c877758
148189c90
1555713c9
hex3a47186

61108614 has 64 divisors (see below), whose sum is σ = 159022080. Its totient is φ = 17029440.

The previous prime is 61108613. The next prime is 61108661. The reversal of 61108614 is 41680116.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61108613) 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, 13527 + ... + 17469.

It is an arithmetic number, because the mean of its divisors is an integer number (2484720).

Almost surely, 261108614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61108614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79511040).

61108614 is an abundant number, since it is smaller than the sum of its proper divisors (97913466).

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

61108614 is a wasteful number, since it uses less digits than its factorization.

61108614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 61108614 is about 7817.1998823108. The cubic root of 61108614 is about 393.8832184149.

The spelling of 61108614 in words is "sixty-one million, one hundred eight thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 189 246 287 369 378 574 738 861 1107 1722 2214 2583 3943 5166 7749 7886 11829 15498 23658 27601 35487 55202 70974 82803 106461 161663 165606 212922 248409 323326 484989 496818 745227 969978 1131641 1454967 1490454 2263282 2909934 3394923 4364901 6789846 8729802 10184769 20369538 30554307 61108614