Search a number
-
+
149049200 = 24521723953
BaseRepresentation
bin10001110001001…
…00111101110000
3101101110111001202
420320210331300
5301124033300
622442350332
73456616526
oct1070447560
9341414052
10149049200
1177152963
1241abb3a8
1324b581c1
1415b1c316
15d142ad5
hex8e24f70

149049200 has 120 divisors (see below), whose sum is σ = 396055008. Its totient is φ = 53616640.

The previous prime is 149049193. The next prime is 149049211. The reversal of 149049200 is 2940941.

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, 155924 + ... + 156876.

Almost surely, 2149049200 is an apocalyptic number.

149049200 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 149049200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198027504).

149049200 is an abundant number, since it is smaller than the sum of its proper divisors (247005808).

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

149049200 is a wasteful number, since it uses less digits than its factorization.

149049200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 149049200 is about 12208.5707599211. The cubic root of 149049200 is about 530.2042644481.

The spelling of 149049200 in words is "one hundred forty-nine million, forty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 23 25 34 40 46 50 68 80 85 92 100 115 136 170 184 200 230 272 340 368 391 400 425 460 575 680 782 850 920 953 1150 1360 1564 1700 1840 1906 1955 2300 3128 3400 3812 3910 4600 4765 6256 6800 7624 7820 9200 9530 9775 15248 15640 16201 19060 19550 21919 23825 31280 32402 38120 39100 43838 47650 64804 76240 78200 81005 87676 95300 109595 129608 156400 162010 175352 190600 219190 259216 324020 350704 372623 381200 405025 438380 547975 648040 745246 810050 876760 1095950 1296080 1490492 1620100 1753520 1863115 2191900 2980984 3240200 3726230 4383800 5961968 6480400 7452460 8767600 9315575 14904920 18631150 29809840 37262300 74524600 149049200