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61115340 = 2235111317419
BaseRepresentation
bin1110100100100…
…0101111001100
311020222222111010
43221020233030
5111121142330
610021525220
71341320556
oct351105714
9136888433
1061115340
1131552950
1218573810
13c87a830
14818c4d6
1555733b0
hex3a48bcc

61115340 has 192 divisors, whose sum is σ = 213373440. Its totient is φ = 12840960.

The previous prime is 61115333. The next prime is 61115363. The reversal of 61115340 is 4351116.

61115340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145651 + ... + 146069.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 261115340 is an apocalyptic number.

61115340 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 61115340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

61115340 is an abundant number, since it is smaller than the sum of its proper divisors (152258100).

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

61115340 is a wasteful number, since it uses less digits than its factorization.

61115340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 61115340 is about 7817.6300756687. The cubic root of 61115340 is about 393.8976689763.

Adding to 61115340 its reverse (4351116), we get a palindrome (65466456).

It can be divided in two parts, 611 and 15340, that added together give a palindrome (15951).

The spelling of 61115340 in words is "sixty-one million, one hundred fifteen thousand, three hundred forty".