Search a number
-
+
61107712 = 2941271
BaseRepresentation
bin1110100100011…
…0111000000000
311020222121000121
43221012320000
5111120421322
610021430024
71341256411
oct351067000
9136877017
1061107712
1131548146
121856b314
13c877213
148189808
155570ec7
hex3a46e00

61107712 has 60 divisors (see below), whose sum is σ = 126909288. Its totient is φ = 29388800.

The previous prime is 61107703. The next prime is 61107721. The reversal of 61107712 is 21770116.

It is an interprime number because it is at equal distance from previous prime (61107703) and next prime (61107721).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 860637 + ... + 860707.

Almost surely, 261107712 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 61107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63454644).

61107712 is an abundant number, since it is smaller than the sum of its proper divisors (65801576).

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

61107712 is an frugal number, since it uses more digits than its factorization.

61107712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 61107712 is about 7817.1421888053. The cubic root of 61107712 is about 393.8812804207.

Adding to 61107712 its reverse (21770116), we get a palindrome (82877828).

The spelling of 61107712 in words is "sixty-one million, one hundred seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 71 82 128 142 164 256 284 328 512 568 656 1136 1312 1681 2272 2624 2911 3362 4544 5248 5822 6724 9088 10496 11644 13448 18176 20992 23288 26896 36352 46576 53792 93152 107584 119351 186304 215168 238702 372608 430336 477404 745216 860672 954808 1490432 1909616 3819232 7638464 15276928 30553856 61107712