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146840512 = 26713191327
BaseRepresentation
bin10001100000010…
…01101111000000
3101020022021022111
420300021233000
5300042344022
622323145104
73432060310
oct1060115700
9336267274
10146840512
11759844a5
1241215194
1324563aa0
1415705440
15cd58477
hex8c09bc0

146840512 has 112 divisors (see below), whose sum is σ = 377789440. Its totient is φ = 54991872.

The previous prime is 146840501. The next prime is 146840513. The reversal of 146840512 is 215048641.

146840512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146840513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109993 + ... + 111319.

It is an arithmetic number, because the mean of its divisors is an integer number (3373120).

Almost surely, 2146840512 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 146840512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188894720).

146840512 is an abundant number, since it is smaller than the sum of its proper divisors (230948928).

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

146840512 is a wasteful number, since it uses less digits than its factorization.

146840512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 146840512 is about 12117.7766937669. The cubic root of 146840512 is about 527.5722737386.

The spelling of 146840512 in words is "one hundred forty-six million, eight hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 133 152 182 208 224 247 266 304 364 416 448 494 532 608 728 832 988 1064 1216 1327 1456 1729 1976 2128 2654 2912 3458 3952 4256 5308 5824 6916 7904 8512 9289 10616 13832 15808 17251 18578 21232 25213 27664 34502 37156 42464 50426 55328 69004 74312 84928 100852 110656 120757 138008 148624 176491 201704 241514 276016 297248 327769 352982 403408 483028 552032 594496 655538 705964 806816 966056 1104064 1311076 1411928 1613632 1932112 2294383 2622152 2823856 3864224 4588766 5244304 5647712 7728448 9177532 10488608 11295424 18355064 20977216 36710128 73420256 146840512