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505060060 = 225315913807
BaseRepresentation
bin11110000110101…
…001101011011100
31022012100201011011
4132012221223130
52013243410220
6122041105004
715341640211
oct3606515334
91265321134
10505060060
1123a10310a
12121188164
138083730b
144b111b08
152e51765a
hex1e1a9adc

505060060 has 48 divisors (see below), whose sum is σ = 1113477120. Its totient is φ = 192179520.

The previous prime is 505060057. The next prime is 505060067. The reversal of 505060060 is 60060505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505060067) 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, 29677 + ... + 43483.

It is an arithmetic number, because the mean of its divisors is an integer number (23197440).

Almost surely, 2505060060 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 505060060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556738560).

505060060 is an abundant number, since it is smaller than the sum of its proper divisors (608417060).

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

505060060 is a wasteful number, since it uses less digits than its factorization.

505060060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13906 (or 13904 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 505060060 is about 22473.5413319753. The cubic root of 505060060 is about 796.3689925814.

The spelling of 505060060 in words is "five hundred five million, sixty thousand, sixty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1180 1829 3658 7316 9145 13807 18290 27614 36580 55228 69035 138070 276140 428017 814613 856034 1629226 1712068 2140085 3258452 4073065 4280170 8146130 8560340 16292260 25253003 50506006 101012012 126265015 252530030 505060060