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60056040 = 23351145497
BaseRepresentation
bin1110010100011…
…0000111101000
311012000011101210
43211012013220
5110333243130
65543113120
71326316332
oct345060750
9135004353
1060056040
1130999aa0
12181427a0
13c599625
147d94452
1554145b0
hex39461e8

60056040 has 64 divisors (see below), whose sum is σ = 196551360. Its totient is φ = 14558720.

The previous prime is 60056023. The next prime is 60056047. The reversal of 60056040 is 4065006.

It is a junction number, because it is equal to n+sod(n) for n = 60055998 and 60056016.

It is not an unprimeable number, because it can be changed into a prime (60056047) 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, 21429 + ... + 24068.

It is an arithmetic number, because the mean of its divisors is an integer number (3071115).

Almost surely, 260056040 is an apocalyptic number.

60056040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60056040 is an abundant number, since it is smaller than the sum of its proper divisors (136495320).

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

60056040 is a wasteful number, since it uses less digits than its factorization.

60056040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45522 (or 45518 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 60056040 is about 7749.5832145994. The cubic root of 60056040 is about 391.6086090696.

Subtracting from 60056040 its product of nonzero digits (720), we obtain a triangular number (60055320 = T10959).

The spelling of 60056040 in words is "sixty million, fifty-six thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 45497 90994 136491 181988 227485 272982 363976 454970 500467 545964 682455 909940 1000934 1091928 1364910 1501401 1819880 2001868 2502335 2729820 3002802 4003736 5004670 5459640 6005604 7507005 10009340 12011208 15014010 20018680 30028020 60056040