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149686368 = 25313277433
BaseRepresentation
bin10001110110000…
…00100001100000
3101102122212002120
420323000201200
5301304430433
622504144240
73465212256
oct1073004140
9342585076
10149686368
1177548647
1242168080
132501c220
1415c465d6
15d21b7b3
hex8ec0860

149686368 has 96 divisors (see below), whose sum is σ = 425660256. Its totient is φ = 45785088.

The previous prime is 149686333. The next prime is 149686373. The reversal of 149686368 is 863686941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 149686368.

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, 345480 + ... + 345912.

It is an arithmetic number, because the mean of its divisors is an integer number (4433961).

Almost surely, 2149686368 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 149686368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212830128).

149686368 is an abundant number, since it is smaller than the sum of its proper divisors (275973888).

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

149686368 is a wasteful number, since it uses less digits than its factorization.

149686368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 728 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 149686368 is about 12234.6380412336. The cubic root of 149686368 is about 530.9587109380.

The spelling of 149686368 in words is "one hundred forty-nine million, six hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 277 312 416 433 554 624 831 866 1108 1248 1299 1662 1732 2216 2598 3324 3464 3601 4432 5196 5629 6648 6928 7202 8864 10392 10803 11258 13296 13856 14404 16887 20784 21606 22516 26592 28808 33774 41568 43212 45032 57616 67548 86424 90064 115232 119941 135096 172848 180128 239882 270192 345696 359823 479764 540384 719646 959528 1439292 1559233 1919056 2878584 3118466 3838112 4677699 5757168 6236932 9355398 11514336 12473864 18710796 24947728 37421592 49895456 74843184 149686368