Search a number
-
+
61141080 = 233571113509
BaseRepresentation
bin1110100100111…
…1000001011000
311021001021210110
43221033001120
5111123003310
610022244320
71341455610
oct351170130
9137037713
1061141080
1131570220
12185866a0
13c889470
148197a40
15557ad20
hex3a4f058

61141080 has 256 divisors, whose sum is σ = 246758400. Its totient is φ = 11704320.

The previous prime is 61141079. The next prime is 61141097. The reversal of 61141080 is 8014116.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119866 + ... + 120374.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 261141080 is an apocalyptic number.

61141080 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 61141080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

61141080 is an abundant number, since it is smaller than the sum of its proper divisors (185617320).

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

61141080 is a wasteful number, since it uses less digits than its factorization.

61141080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 61141080 is about 7819.2761813355. The cubic root of 61141080 is about 393.9529606206.

Adding to 61141080 its reverse (8014116), we get a palindrome (69155196).

It can be divided in two parts, 61 and 141080, that added together give a palindrome (141141).

The spelling of 61141080 in words is "sixty-one million, one hundred forty-one thousand, eighty".