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61057540 = 22517179581
BaseRepresentation
bin1110100011101…
…0101000000100
311020220001012101
43220322220010
5111112320130
610020401444
71340660215
oct350725004
9136801171
1061057540
1131513485
1218546284
13c85a42b
14817540c
1555611ca
hex3a3aa04

61057540 has 24 divisors (see below), whose sum is σ = 135763992. Its totient is φ = 22986240.

The previous prime is 61057519. The next prime is 61057567. The reversal of 61057540 is 4575016.

It can be written as a sum of positive squares in 4 ways, for example, as 715716 + 60341824 = 846^2 + 7768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61057499 and 61057508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89451 + ... + 90130.

It is an arithmetic number, because the mean of its divisors is an integer number (5656833).

Almost surely, 261057540 is an apocalyptic number.

It is an amenable number.

61057540 is an abundant number, since it is smaller than the sum of its proper divisors (74706452).

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

61057540 is a wasteful number, since it uses less digits than its factorization.

61057540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179607 (or 179605 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 61057540 is about 7813.9324286815. The cubic root of 61057540 is about 393.7734532095.

The spelling of 61057540 in words is "sixty-one million, fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 179581 359162 718324 897905 1795810 3052877 3591620 6105754 12211508 15264385 30528770 61057540