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241152030 = 232572149367
BaseRepresentation
bin11100101111110…
…11000000011110
3121210202210101200
432113323000132
5443213331110
635532420330
75655521100
oct1627730036
9553683350
10241152030
111141400a9
12689176a6
133ac65312
1424055570
15162876c0
hexe5fb01e

241152030 has 144 divisors (see below), whose sum is σ = 736257600. Its totient is φ = 54601344.

The previous prime is 241152029. The next prime is 241152031. The reversal of 241152030 is 30251142.

241152030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241152029) and next prime (241152031).

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

It is a junction number, because it is equal to n+sod(n) for n = 241151994 and 241152012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241152031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 656907 + ... + 657273.

It is an arithmetic number, because the mean of its divisors is an integer number (5112900).

Almost surely, 2241152030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241152030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368128800).

241152030 is an abundant number, since it is smaller than the sum of its proper divisors (495105570).

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

241152030 is a wasteful number, since it uses less digits than its factorization.

241152030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 241152030 is about 15529.0704808755. The cubic root of 241152030 is about 622.4392547296.

The spelling of 241152030 in words is "two hundred forty-one million, one hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 149 210 245 294 298 315 367 441 447 490 630 734 735 745 882 894 1043 1101 1341 1470 1490 1835 2086 2202 2205 2235 2569 2682 3129 3303 3670 4410 4470 5138 5215 5505 6258 6606 6705 7301 7707 9387 10430 11010 12845 13410 14602 15414 15645 16515 17983 18774 21903 23121 25690 31290 33030 35966 36505 38535 43806 46242 46935 53949 54683 65709 73010 77070 89915 93870 107898 109366 109515 115605 131418 161847 164049 179830 219030 231210 269745 273415 323694 328098 328545 382781 492147 539490 546830 657090 765562 809235 820245 984294 1148343 1618470 1640490 1913905 2296686 2460735 2679467 3445029 3827810 4921470 5358934 5741715 6890058 8038401 11483430 13397335 16076802 17225145 24115203 26794670 34450290 40192005 48230406 80384010 120576015 241152030