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68540560 = 24511711097
BaseRepresentation
bin1000001010111…
…01100010010000
311202222012222021
410011131202100
5120021244220
610445021224
71461404464
oct405354220
9152865867
1068540560
11357645a0
121ab54814
131127a45a
1491624a4
15603d4aa
hex415d890

68540560 has 80 divisors (see below), whose sum is σ = 176452992. Its totient is φ = 24550400.

The previous prime is 68540557. The next prime is 68540567. The reversal of 68540560 is 6504586.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×685405602 = 9395616730227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (68540567) 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, 61932 + ... + 63028.

Almost surely, 268540560 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 68540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88226496).

68540560 is an abundant number, since it is smaller than the sum of its proper divisors (107912432).

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

68540560 is a wasteful number, since it uses less digits than its factorization.

68540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 68540560 is about 8278.9226352225. The cubic root of 68540560 is about 409.2442154333.

The spelling of 68540560 in words is "sixty-eight million, five hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 110 142 176 220 284 355 440 568 710 781 880 1097 1136 1420 1562 2194 2840 3124 3905 4388 5485 5680 6248 7810 8776 10970 12067 12496 15620 17552 21940 24134 31240 43880 48268 60335 62480 77887 87760 96536 120670 155774 193072 241340 311548 389435 482680 623096 778870 856757 965360 1246192 1557740 1713514 3115480 3427028 4283785 6230960 6854056 8567570 13708112 17135140 34270280 68540560