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241414152 = 233719531427
BaseRepresentation
bin11100110001110…
…11000000001000
3121211021002221220
432120323000020
5443300223102
635542202040
75660662230
oct1630730010
9554232856
10241414152
111142aa031
1268a23320
133b027715
14240c2cc0
15162da1bc
hexe63b008

241414152 has 128 divisors (see below), whose sum is σ = 740275200. Its totient is φ = 64067328.

The previous prime is 241414123. The next prime is 241414153. The reversal of 241414152 is 251414142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (241414153) 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 31 ways as a sum of consecutive naturals, for example, 168463 + ... + 169889.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2241414152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241414152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

241414152 is an abundant number, since it is smaller than the sum of its proper divisors (498861048).

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

241414152 is a wasteful number, since it uses less digits than its factorization.

241414152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1511 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 241414152 is about 15537.5079082844. The cubic root of 241414152 is about 622.6646947336.

Adding to 241414152 its reverse (251414142), we get a palindrome (492828294).

The spelling of 241414152 in words is "two hundred forty-one million, four hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 53 56 57 76 84 106 114 133 152 159 168 212 228 266 318 371 399 424 456 532 636 742 798 1007 1064 1113 1272 1427 1484 1596 2014 2226 2854 2968 3021 3192 4028 4281 4452 5708 6042 7049 8056 8562 8904 9989 11416 12084 14098 17124 19978 21147 24168 27113 28196 29967 34248 39956 42294 54226 56392 59934 75631 79912 81339 84588 108452 119868 151262 162678 169176 189791 216904 226893 239736 302524 325356 379582 453786 529417 569373 605048 650712 759164 907572 1058834 1138746 1436989 1518328 1588251 1815144 2117668 2277492 2873978 3176502 4235336 4310967 4554984 5747956 6353004 8621934 10058923 11495912 12706008 17243868 20117846 30176769 34487736 40235692 60353538 80471384 120707076 241414152