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61130268 = 22334712043
BaseRepresentation
bin1110100100110…
…0011000011100
311021000201222000
43221030120130
5111122132033
610022122300
71341412233
oct351143034
9137021860
1061130268
1131563091
1218580390
13c884574
148193b1a
155577a13
hex3a4c61c

61130268 has 48 divisors (see below), whose sum is σ = 161871360. Its totient is φ = 19941552.

The previous prime is 61130263. The next prime is 61130269. The reversal of 61130268 is 86203116.

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 (61130261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946 + ... + 11097.

It is an arithmetic number, because the mean of its divisors is an integer number (3372320).

Almost surely, 261130268 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 61130268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80935680).

61130268 is an abundant number, since it is smaller than the sum of its proper divisors (100741092).

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

61130268 is a wasteful number, since it uses less digits than its factorization.

61130268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12103 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61130268 is about 7818.5847824271. The cubic root of 61130268 is about 393.9297374428.

The spelling of 61130268 in words is "sixty-one million, one hundred thirty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 12043 24086 36129 48172 72258 108387 144516 216774 325161 433548 566021 650322 1132042 1300644 1698063 2264084 3396126 5094189 6792252 10188378 15282567 20376756 30565134 61130268