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241423120 = 24517199343
BaseRepresentation
bin11100110001111…
…01001100010000
3121211021120021001
432120331030100
5443301014440
635542311344
75661030331
oct1630751420
9554246231
10241423120
11114305844
1268a28554
133b02b823
14240c6288
15162dcb9a
hexe63d310

241423120 has 80 divisors (see below), whose sum is σ = 625674240. Its totient is φ = 86095872.

The previous prime is 241423099. The next prime is 241423141. The reversal of 241423120 is 21324142.

It is an interprime number because it is at equal distance from previous prime (241423099) and next prime (241423141).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21169 + ... + 30511.

It is an arithmetic number, because the mean of its divisors is an integer number (7820928).

Almost surely, 2241423120 is an apocalyptic number.

241423120 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 241423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312837120).

241423120 is an abundant number, since it is smaller than the sum of its proper divisors (384251120).

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

241423120 is a wasteful number, since it uses less digits than its factorization.

241423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9392 (or 9386 counting only the distinct ones).

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

The square root of 241423120 is about 15537.7964975733. The cubic root of 241423120 is about 622.6724048420.

Adding to 241423120 its reverse (21324142), we get a palindrome (262747262).

The spelling of 241423120 in words is "two hundred forty-one million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2584 3230 5168 6460 9343 12920 18686 25840 37372 46715 74744 93430 149488 158831 177517 186860 317662 355034 373720 635324 710068 747440 794155 887585 1270648 1420136 1588310 1775170 2541296 2840272 3017789 3176620 3550340 6035578 6353240 7100680 12071156 12706480 14201360 15088945 24142312 30177890 48284624 60355780 120711560 241423120