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149879868 = 223234391237
BaseRepresentation
bin10001110111011…
…11110000111100
3101110000200112020
420323233300330
5301332123433
622512240140
73466646355
oct1073576074
9343020466
10149879868
117766aa66
1242240050
1325089318
1415c96d2c
15d258cb3
hex8eefc3c

149879868 has 48 divisors (see below), whose sum is σ = 366051840. Its totient is φ = 47640384.

The previous prime is 149879857. The next prime is 149879869. The reversal of 149879868 is 868978941.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149879869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120546 + ... + 121782.

It is an arithmetic number, because the mean of its divisors is an integer number (7626080).

Almost surely, 2149879868 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 149879868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183025920).

149879868 is an abundant number, since it is smaller than the sum of its proper divisors (216171972).

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

149879868 is a wasteful number, since it uses less digits than its factorization.

149879868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1704 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 60.

The square root of 149879868 is about 12242.5433632068. The cubic root of 149879868 is about 531.1874030420.

The spelling of 149879868 in words is "one hundred forty-nine million, eight hundred seventy-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 439 878 1237 1317 1756 2474 2634 3711 4948 5268 7422 10097 14844 20194 28451 30291 40388 56902 60582 85353 113804 121164 170706 341412 543043 1086086 1629129 2172172 3258258 6516516 12489989 24979978 37469967 49959956 74939934 149879868