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149098200 = 23352435779
BaseRepresentation
bin10001110001100…
…00111011011000
3101101112222021120
420320300323120
5301132120300
622443405240
73460212426
oct1070607330
9341488246
10149098200
1177186759
1241b23820
1324b745b4
1415b32116
15d1523a0
hex8e30ed8

149098200 has 96 divisors (see below), whose sum is σ = 473035200. Its totient is φ = 38828160.

The previous prime is 149098199. The next prime is 149098237. The reversal of 149098200 is 2890941.

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, 22911 + ... + 28689.

It is an arithmetic number, because the mean of its divisors is an integer number (4927450).

Almost surely, 2149098200 is an apocalyptic number.

149098200 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 149098200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236517600).

149098200 is an abundant number, since it is smaller than the sum of its proper divisors (323937000).

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

149098200 is a wasteful number, since it uses less digits than its factorization.

149098200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 149098200 is about 12210.5773819259. The cubic root of 149098200 is about 530.2623597224.

The spelling of 149098200 in words is "one hundred forty-nine million, ninety-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 5779 6450 8600 11558 12900 17337 23116 25800 28895 34674 46232 57790 69348 86685 115580 138696 144475 173370 231160 248497 288950 346740 433425 496994 577900 693480 745491 866850 993988 1155800 1242485 1490982 1733700 1987976 2484970 2981964 3467400 3727455 4969940 5963928 6212425 7454910 9939880 12424850 14909820 18637275 24849700 29819640 37274550 49699400 74549100 149098200