Search a number
-
+
144860768 = 25133147239
BaseRepresentation
bin10001010001001…
…10011001100000
3101002120200121122
420220212121200
5244041021033
622212511412
73406203413
oct1050463140
9332520548
10144860768
1174852048
124061b568
132401c940
141534bb7a
15cab6a98
hex8a26660

144860768 has 96 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 63060480.

The previous prime is 144860759. The next prime is 144860777. The reversal of 144860768 is 867068441.

144860768 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 (144860759) and next prime (144860777).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605993 + ... + 606231.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2144860768 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 144860768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

144860768 is an abundant number, since it is smaller than the sum of its proper divisors (180279712).

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

144860768 is a wasteful number, since it uses less digits than its factorization.

144860768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 144860768 is about 12035.8118961705. The cubic root of 144860768 is about 525.1905799401.

The spelling of 144860768 in words is "one hundred forty-four million, eight hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 47 52 62 94 104 124 188 208 239 248 376 403 416 478 496 611 752 806 956 992 1222 1457 1504 1612 1912 2444 2914 3107 3224 3824 4888 5828 6214 6448 7409 7648 9776 11233 11656 12428 12896 14818 18941 19552 22466 23312 24856 29636 37882 44932 46624 49712 59272 75764 89864 96317 99424 118544 146029 151528 179728 192634 237088 292058 303056 348223 359456 385268 584116 606112 696446 770536 1168232 1392892 1541072 2336464 2785784 3082144 4526899 4672928 5571568 9053798 11143136 18107596 36215192 72430384 144860768