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241240000 = 265437163
BaseRepresentation
bin11100110000100…
…00011111000000
3121210221021001211
432120100133000
5443224140000
635534335504
75656335421
oct1630203700
9553837054
10241240000
111141a0201
126895a594
133ac96381
1424079648
15162a37ba
hexe6107c0

241240000 has 140 divisors (see below), whose sum is σ = 618133384. Its totient is φ = 93312000.

The previous prime is 241239997. The next prime is 241240001. The reversal of 241240000 is 42142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1479919 + ... + 1480081.

Almost surely, 2241240000 is an apocalyptic number.

241240000 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 241240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309066692).

241240000 is an abundant number, since it is smaller than the sum of its proper divisors (376893384).

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

241240000 is an equidigital number, since it uses as much as digits as its factorization.

241240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 241240000 is about 15531.9026522831. The cubic root of 241240000 is about 622.5149321967.

Adding to 241240000 its reverse (42142), we get a palindrome (241282142).

The spelling of 241240000 in words is "two hundred forty-one million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 163 185 200 250 296 320 326 370 400 500 592 625 652 740 800 815 925 1000 1184 1250 1304 1480 1600 1630 1850 2000 2368 2500 2608 2960 3260 3700 4000 4075 4625 5000 5216 5920 6031 6520 7400 8000 8150 9250 10000 10432 11840 12062 13040 14800 16300 18500 20000 20375 23125 24124 26080 29600 30155 32600 37000 40000 40750 46250 48248 52160 59200 60310 65200 74000 81500 92500 96496 101875 120620 130400 148000 150775 163000 185000 192992 203750 241240 260800 296000 301550 326000 370000 385984 407500 482480 603100 652000 740000 753875 815000 964960 1206200 1304000 1480000 1507750 1630000 1929920 2412400 3015500 3260000 3769375 4824800 6031000 6520000 7538750 9649600 12062000 15077500 24124000 30155000 48248000 60310000 120620000 241240000