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241636980 = 2235131718223
BaseRepresentation
bin11100110011100…
…01011001110100
3121211200102121210
432121301121310
5443324340410
635551041420
75662610664
oct1631613164
9554612553
10241636980
11114441492
1268b10270
133b0a4c80
14241401a4
1516331220
hexe671674

241636980 has 96 divisors (see below), whose sum is σ = 771531264. Its totient is φ = 55977984.

The previous prime is 241636979. The next prime is 241636981. The reversal of 241636980 is 89636142.

It is an interprime number because it is at equal distance from previous prime (241636979) and next prime (241636981).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241636981) 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, 4149 + ... + 22371.

It is an arithmetic number, because the mean of its divisors is an integer number (8036784).

Almost surely, 2241636980 is an apocalyptic number.

241636980 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 241636980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385765632).

241636980 is an abundant number, since it is smaller than the sum of its proper divisors (529894284).

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

241636980 is a wasteful number, since it uses less digits than its factorization.

241636980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18265 (or 18263 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 241636980 is about 15544.6769023997. The cubic root of 241636980 is about 622.8562113465.

The spelling of 241636980 in words is "two hundred forty-one million, six hundred thirty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 13260 18223 36446 54669 72892 91115 109338 182230 218676 236899 273345 309791 364460 473798 546690 619582 710697 929373 947596 1093380 1184495 1239164 1421394 1548955 1858746 2368990 2842788 3097910 3553485 3717492 4027283 4646865 4737980 6195820 7106970 8054566 9293730 12081849 14213940 16109132 18587460 20136415 24163698 40272830 48327396 60409245 80545660 120818490 241636980