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61054560 = 253457673
BaseRepresentation
bin1110100011100…
…1111001100000
311020212220010000
43220321321200
5111112221220
610020340000
71340645430
oct350717140
9136786100
1061054560
1131511216
1218544600
13c858c78
1481742c0
155560390
hex3a39e60

61054560 has 240 divisors, whose sum is σ = 246619296. Its totient is φ = 13934592.

The previous prime is 61054559. The next prime is 61054561. The reversal of 61054560 is 6545016.

It is a happy number.

61054560 is a `hidden beast` number, since 61 + 0 + 545 + 60 = 666.

61054560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61054559) and next prime (61054561).

It is a tau number, because it is divible by the number of its divisors (240).

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 (61054561) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 90384 + ... + 91056.

Almost surely, 261054560 is an apocalyptic number.

61054560 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 61054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123309648).

61054560 is an abundant number, since it is smaller than the sum of its proper divisors (185564736).

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

61054560 is a wasteful number, since it uses less digits than its factorization.

61054560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 61054560 is about 7813.7417413170. The cubic root of 61054560 is about 393.7670468810.

Adding to 61054560 its reverse (6545016), we get a palindrome (67599576).

The spelling of 61054560 in words is "sixty-one million, fifty-four thousand, five hundred sixty".