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241430420 = 225711211743
BaseRepresentation
bin11100110001111…
…10111110010100
3121211021221021102
432120332332110
5443301233140
635542405232
75661060530
oct1630767624
9554257242
10241430420
11114310280
1268a30818
133b031c4a
14240c8bc0
15162dee15
hexe63ef94

241430420 has 96 divisors (see below), whose sum is σ = 635959296. Its totient is φ = 74793600.

The previous prime is 241430417. The next prime is 241430437. The reversal of 241430420 is 24034142.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 241430392 and 241430401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324569 + ... + 325311.

It is an arithmetic number, because the mean of its divisors is an integer number (6624576).

Almost surely, 2241430420 is an apocalyptic number.

241430420 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 241430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317979648).

241430420 is an abundant number, since it is smaller than the sum of its proper divisors (394528876).

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

241430420 is a wasteful number, since it uses less digits than its factorization.

241430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 241430420 is about 15538.0314068417. The cubic root of 241430420 is about 622.6786807705.

Adding to 241430420 its reverse (24034142), we get a palindrome (265464562).

The spelling of 241430420 in words is "two hundred forty-one million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 211 220 308 385 422 743 770 844 1055 1477 1486 1540 2110 2321 2954 2972 3715 4220 4642 5201 5908 7385 7430 8173 9284 10402 11605 14770 14860 16247 16346 20804 23210 26005 29540 32494 32692 40865 46420 52010 57211 64988 81235 81730 104020 114422 156773 162470 163460 228844 286055 313546 324940 572110 627092 783865 1097411 1144220 1567730 1724503 2194822 3135460 3449006 4389644 5487055 6898012 8622515 10974110 12071521 17245030 21948220 24143042 34490060 48286084 60357605 120715210 241430420