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241024140 = 22335729109
BaseRepresentation
bin11100101110110…
…11110010001100
3121210112021222000
432113123302030
5443200233030
635525552300
75654446200
oct1627336214
9553467860
10241024140
11114063005
1268875690
133ac1c046
1424020b00
151625e860
hexe5dbc8c

241024140 has 144 divisors (see below), whose sum is σ = 872373600. Its totient is φ = 55085184.

The previous prime is 241024123. The next prime is 241024151. The reversal of 241024140 is 41420142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21906 + ... + 31014.

It is an arithmetic number, because the mean of its divisors is an integer number (6058150).

Almost surely, 2241024140 is an apocalyptic number.

241024140 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 241024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436186800).

241024140 is an abundant number, since it is smaller than the sum of its proper divisors (631349460).

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

241024140 is a wasteful number, since it uses less digits than its factorization.

241024140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9141 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 241024140 is about 15524.9521738394. The cubic root of 241024140 is about 622.3292026703.

Adding to 241024140 its reverse (41420142), we get a palindrome (282444282).

The spelling of 241024140 in words is "two hundred forty-one million, twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 9109 13230 18218 26460 27327 36436 45545 54654 63763 81981 91090 109308 127526 136635 163962 182180 191289 245943 255052 273270 318815 327924 382578 409905 446341 491886 546540 573867 637630 765156 819810 892682 956445 983772 1147734 1229715 1275260 1339023 1639620 1721601 1785364 1912890 2231705 2295468 2459430 2678046 2869335 3443202 3825780 4017069 4463410 4918860 5356092 5738670 6695115 6886404 8034138 8608005 8926820 11477340 12051207 13390230 16068276 17216010 20085345 24102414 26780460 34432020 40170690 48204828 60256035 80341380 120512070 241024140