Search a number
-
+
268554660 = 223511271521
BaseRepresentation
bin10000000000011…
…101000110100100
3200201022222201220
4100000131012210
51022222222120
642352020340
76440451123
oct2000350644
9621288656
10268554660
11128657100
1275b316b0
134383acaa
1427949aba
151889bb40
hex1001d1a4

268554660 has 144 divisors (see below), whose sum is σ = 839776896. Its totient is φ = 64064000.

The previous prime is 268554641. The next prime is 268554667. The reversal of 268554660 is 66455862.

It is not an unprimeable number, because it can be changed into a prime (268554667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515200 + ... + 515720.

It is an arithmetic number, because the mean of its divisors is an integer number (5831784).

Almost surely, 2268554660 is an apocalyptic number.

268554660 is a gapful number since it is divisible by the number (20) 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 268554660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419888448).

268554660 is an abundant number, since it is smaller than the sum of its proper divisors (571222236).

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

268554660 is a wasteful number, since it uses less digits than its factorization.

268554660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 268554660 is about 16387.6374136115. The cubic root of 268554660 is about 645.1750501383.

The spelling of 268554660 in words is "two hundred sixty-eight million, five hundred fifty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 121 132 142 165 213 220 242 284 330 355 363 426 484 521 605 660 710 726 781 852 1042 1065 1210 1420 1452 1562 1563 1815 2084 2130 2343 2420 2605 3124 3126 3630 3905 4260 4686 5210 5731 6252 7260 7810 7815 8591 9372 10420 11462 11715 15620 15630 17182 17193 22924 23430 25773 28655 31260 34364 34386 36991 42955 46860 51546 57310 63041 68772 73982 85910 85965 103092 110973 114620 126082 128865 147964 171820 171930 184955 189123 221946 252164 257730 315205 343860 369910 378246 406901 443892 515460 554865 630410 739820 756492 813802 945615 1109730 1220703 1260820 1627604 1891230 2034505 2219460 2441406 3782460 4069010 4475911 4882812 6103515 8138020 8951822 12207030 13427733 17903644 22379555 24414060 26855466 44759110 53710932 67138665 89518220 134277330 268554660