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266205420 = 223351322917
BaseRepresentation
bin11111101110111…
…11100011101100
3200112220122012000
433313133203230
51021122033140
642225412300
76411465045
oct1767374354
9615818160
10266205420
111272a2088
127519a090
13431c7900
14274d78cc
1518585a30
hexfddf8ec

266205420 has 144 divisors (see below), whose sum is σ = 897109920. Its totient is φ = 65505024.

The previous prime is 266205391. The next prime is 266205437. The reversal of 266205420 is 24502662.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89802 + ... + 92718.

It is an arithmetic number, because the mean of its divisors is an integer number (6229930).

Almost surely, 2266205420 is an apocalyptic number.

266205420 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 266205420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448554960).

266205420 is an abundant number, since it is smaller than the sum of its proper divisors (630904500).

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

266205420 is a wasteful number, since it uses less digits than its factorization.

266205420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 266205420 is about 16315.8027690948. The cubic root of 266205420 is about 643.2882682659.

The spelling of 266205420 in words is "two hundred sixty-six million, two hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 2917 3042 3380 3510 4563 5070 5834 6084 7020 7605 8751 9126 10140 11668 14585 15210 17502 18252 22815 26253 29170 30420 35004 37921 43755 45630 52506 58340 75842 78759 87510 91260 105012 113763 131265 151684 157518 175020 189605 227526 262530 315036 341289 379210 393795 455052 492973 525060 568815 682578 758420 787590 985946 1023867 1137630 1365156 1478919 1575180 1706445 1971892 2047734 2275260 2464865 2957838 3412890 4095468 4436757 4929730 5119335 5915676 6825780 7394595 8873514 9859460 10238670 13310271 14789190 17747028 20477340 22183785 26620542 29578380 44367570 53241084 66551355 88735140 133102710 266205420