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260661720 = 2335111811091
BaseRepresentation
bin11111000100101…
…10000111011000
3200011110222122210
433202112013120
51013212133340
641510515120
76313405464
oct1742260730
9604428583
10260661720
11124156010
1273365aa0
1342006507
14268934a4
1517d3d180
hexf8961d8

260661720 has 128 divisors (see below), whose sum is σ = 858574080. Its totient is φ = 62784000.

The previous prime is 260661719. The next prime is 260661721. The reversal of 260661720 is 27166062.

260661720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260661719) and next prime (260661721).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260661721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238375 + ... + 239465.

It is an arithmetic number, because the mean of its divisors is an integer number (6707610).

Almost surely, 2260661720 is an apocalyptic number.

260661720 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 260661720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429287040).

260661720 is an abundant number, since it is smaller than the sum of its proper divisors (597912360).

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

260661720 is a wasteful number, since it uses less digits than its factorization.

260661720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 260661720 is about 16145.0215236772. The cubic root of 260661720 is about 638.7914366574.

The spelling of 260661720 in words is "two hundred sixty million, six hundred sixty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 181 220 264 330 362 440 543 660 724 905 1086 1091 1320 1448 1810 1991 2172 2182 2715 3273 3620 3982 4344 4364 5430 5455 5973 6546 7240 7964 8728 9955 10860 10910 11946 12001 13092 15928 16365 19910 21720 21820 23892 24002 26184 29865 32730 36003 39820 43640 47784 48004 59730 60005 65460 72006 79640 96008 119460 120010 130920 144012 180015 197471 238920 240020 288024 360030 394942 480040 592413 720060 789884 987355 1184826 1440120 1579768 1974710 2172181 2369652 2962065 3949420 4344362 4739304 5924130 6516543 7898840 8688724 10860905 11848260 13033086 17377448 21721810 23696520 26066172 32582715 43443620 52132344 65165430 86887240 130330860 260661720