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61161400 = 23521032969
BaseRepresentation
bin1110100101001…
…1111110111000
311021002022200001
43221103332320
5111124131100
610022522344
71341602056
oct351237670
9137068601
1061161400
1131584513
12185963b4
13c8957a1
1481a11d6
155581d6a
hex3a53fb8

61161400 has 48 divisors (see below), whose sum is σ = 143629200. Its totient is φ = 24218880.

The previous prime is 61161383. The next prime is 61161403. The reversal of 61161400 is 416116.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61161403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19116 + ... + 22084.

It is an arithmetic number, because the mean of its divisors is an integer number (2992275).

Almost surely, 261161400 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 61161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71814600).

61161400 is an abundant number, since it is smaller than the sum of its proper divisors (82467800).

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

61161400 is a wasteful number, since it uses less digits than its factorization.

61161400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 61161400 is about 7820.5754263993. The cubic root of 61161400 is about 393.9965986977.

Adding to 61161400 its reverse (416116), we get a palindrome (61577516).

The spelling of 61161400 in words is "sixty-one million, one hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 2060 2575 2969 4120 5150 5938 10300 11876 14845 20600 23752 29690 59380 74225 118760 148450 296900 305807 593800 611614 1223228 1529035 2446456 3058070 6116140 7645175 12232280 15290350 30580700 61161400