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241094960 = 24537471733
BaseRepresentation
bin11100101111011…
…01000100110000
3121210122220002222
432113231010300
5443210014320
635531300212
75655162521
oct1627550460
9553586088
10241094960
11114101237
12688aa668
133ac45352
142403c848
1516275825
hexe5ed130

241094960 has 80 divisors (see below), whose sum is σ = 588283776. Its totient is φ = 91782144.

The previous prime is 241094957. The next prime is 241094977. The reversal of 241094960 is 69490142.

241094960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 241094960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138254 + ... + 139986.

Almost surely, 2241094960 is an apocalyptic number.

241094960 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 241094960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294141888).

241094960 is an abundant number, since it is smaller than the sum of its proper divisors (347188816).

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

241094960 is a wasteful number, since it uses less digits than its factorization.

241094960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 241094960 is about 15527.2328507046. The cubic root of 241094960 is about 622.3901495920.

The spelling of 241094960 in words is "two hundred forty-one million, ninety-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 47 74 80 94 148 185 188 235 296 370 376 470 592 740 752 940 1480 1733 1739 1880 2960 3466 3478 3760 6932 6956 8665 8695 13864 13912 17330 17390 27728 27824 34660 34780 64121 69320 69560 81451 128242 138640 139120 162902 256484 320605 325804 407255 512968 641210 651608 814510 1025936 1282420 1303216 1629020 2564840 3013687 3258040 5129680 6027374 6516080 12054748 15068435 24109496 30136870 48218992 60273740 120547480 241094960