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241192890 = 23451911559
BaseRepresentation
bin11100110000001…
…00111110111010
3121210211212110000
432120010332322
5443221133030
635533333430
75656051161
oct1630047672
9553755400
10241192890
11114168874
1268937276
133ac7aab3
14240663d8
1516294860
hexe604fba

241192890 has 80 divisors (see below), whose sum is σ = 652354560. Its totient is φ = 63940320.

The previous prime is 241192883. The next prime is 241192901. The reversal of 241192890 is 98291142.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153931 + ... + 155489.

It is an arithmetic number, because the mean of its divisors is an integer number (8154432).

Almost surely, 2241192890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241192890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326177280).

241192890 is an abundant number, since it is smaller than the sum of its proper divisors (411161670).

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

241192890 is a wasteful number, since it uses less digits than its factorization.

241192890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 241192890 is about 15530.3860222468. The cubic root of 241192890 is about 622.4744074251.

It can be divided in two parts, 241 and 192890, that added together give a triangular number (193131 = T621).

The spelling of 241192890 in words is "two hundred forty-one million, one hundred ninety-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 191 270 382 405 573 810 955 1146 1559 1719 1910 2865 3118 3438 4677 5157 5730 7795 8595 9354 10314 14031 15471 15590 17190 23385 25785 28062 30942 42093 46770 51570 70155 77355 84186 126279 140310 154710 210465 252558 297769 420930 595538 631395 893307 1262790 1488845 1786614 2679921 2977690 4466535 5359842 8039763 8933070 13399605 16079526 24119289 26799210 40198815 48238578 80397630 120596445 241192890