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241641060 = 223517241983
BaseRepresentation
bin11100110011100…
…10011001100100
3121211200122012220
432121302121210
5443330003220
635551112340
75662625613
oct1631623144
9554618186
10241641060
11114444561
1268b126b0
133b0a6a9b
142414187a
1516332540
hexe672664

241641060 has 96 divisors (see below), whose sum is σ = 720099072. Its totient is φ = 60334080.

The previous prime is 241641047. The next prime is 241641067. The reversal of 241641060 is 60146142.

241641060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 241641060.

It is not an unprimeable number, because it can be changed into a prime (241641067) 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, 245329 + ... + 246311.

It is an arithmetic number, because the mean of its divisors is an integer number (7501032).

Almost surely, 2241641060 is an apocalyptic number.

241641060 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 241641060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360049536).

241641060 is an abundant number, since it is smaller than the sum of its proper divisors (478458012).

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

241641060 is a wasteful number, since it uses less digits than its factorization.

241641060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 241641060 is about 15544.8081364808. The cubic root of 241641060 is about 622.8597169344.

The spelling of 241641060 in words is "two hundred forty-one million, six hundred forty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 241 255 340 482 510 723 964 983 1020 1205 1446 1966 2410 2892 2949 3615 3932 4097 4820 4915 5898 7230 8194 9830 11796 12291 14460 14745 16388 16711 19660 20485 24582 29490 33422 40970 49164 50133 58980 61455 66844 81940 83555 100266 122910 167110 200532 236903 245820 250665 334220 473806 501330 710709 947612 1002660 1184515 1421418 2369030 2842836 3553545 4027351 4738060 7107090 8054702 12082053 14214180 16109404 20136755 24164106 40273510 48328212 60410265 80547020 120820530 241641060