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241413400 = 235229107389
BaseRepresentation
bin11100110001110…
…10110100011000
3121211021001221001
432120322310120
5443300212100
635542154344
75660660104
oct1630726430
9554231831
10241413400
111142a9508
1268a229b4
133b027287
14240c2904
15162d9d6a
hexe63ad18

241413400 has 96 divisors (see below), whose sum is σ = 587574000. Its totient is φ = 92126720.

The previous prime is 241413391. The next prime is 241413401. The reversal of 241413400 is 4314142.

241413400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241413401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620406 + ... + 620794.

Almost surely, 2241413400 is an apocalyptic number.

241413400 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 241413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293787000).

241413400 is an abundant number, since it is smaller than the sum of its proper divisors (346160600).

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

241413400 is a wasteful number, since it uses less digits than its factorization.

241413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 241413400 is about 15537.4837087606. The cubic root of 241413400 is about 622.6640482038.

Adding to 241413400 its reverse (4314142), we get a palindrome (245727542).

The spelling of 241413400 in words is "two hundred forty-one million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 107 116 145 200 214 232 290 389 428 535 580 725 778 856 1070 1160 1450 1556 1945 2140 2675 2900 3103 3112 3890 4280 5350 5800 6206 7780 9725 10700 11281 12412 15515 15560 19450 21400 22562 24824 31030 38900 41623 45124 56405 62060 77575 77800 83246 90248 112810 124120 155150 166492 208115 225620 282025 310300 332984 416230 451240 564050 620600 832460 1040575 1128100 1207067 1664920 2081150 2256200 2414134 4162300 4828268 6035335 8324600 9656536 12070670 24141340 30176675 48282680 60353350 120706700 241413400