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149343120 = 24325316691
BaseRepresentation
bin10001110011011…
…00101110010000
3101102000102020200
420321230232100
5301212434440
622452535200
73462252453
oct1071545620
9342012220
10149343120
1177333773
1242021500
1324c2bc14
1415b9749a
15d19ec30
hex8e6cb90

149343120 has 120 divisors (see below), whose sum is σ = 517800192. Its totient is φ = 38534400.

The previous prime is 149343119. The next prime is 149343167. The reversal of 149343120 is 21343941.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18975 + ... + 25665.

Almost surely, 2149343120 is an apocalyptic number.

149343120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258900096).

149343120 is an abundant number, since it is smaller than the sum of its proper divisors (368457072).

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

149343120 is a wasteful number, since it uses less digits than its factorization.

149343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6741 (or 6732 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 149343120 is about 12220.6022764838. The cubic root of 149343120 is about 530.5525505933.

The spelling of 149343120 in words is "one hundred forty-nine million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 6691 7440 11160 13382 20073 22320 26764 33455 40146 53528 60219 66910 80292 100365 107056 120438 133820 160584 200730 207421 240876 267640 301095 321168 401460 414842 481752 535280 602190 622263 802920 829684 963504 1037105 1204380 1244526 1605840 1659368 1866789 2074210 2408760 2489052 3111315 3318736 3733578 4148420 4817520 4978104 6222630 7467156 8296840 9333945 9956208 12445260 14934312 16593680 18667890 24890520 29868624 37335780 49781040 74671560 149343120