Search a number
-
+
149426160 = 243513471019
BaseRepresentation
bin10001110100000…
…00111111110000
3101102011122011020
420322000333300
5301223114120
622454415440
73463046532
oct1072007760
9342148136
10149426160
11773900a4
1242061580
1324c5a960
1415bb9852
15d1b9640
hex8e80ff0

149426160 has 160 divisors (see below), whose sum is σ = 509967360. Its totient is φ = 35963904.

The previous prime is 149426159. The next prime is 149426171. The reversal of 149426160 is 61624941.

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 31 ways as a sum of consecutive naturals, for example, 146131 + ... + 147149.

It is an arithmetic number, because the mean of its divisors is an integer number (3187296).

Almost surely, 2149426160 is an apocalyptic number.

149426160 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 149426160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254983680).

149426160 is an abundant number, since it is smaller than the sum of its proper divisors (360541200).

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

149426160 is a wasteful number, since it uses less digits than its factorization.

149426160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 149426160 is about 12223.9993455497. Note that the first 3 decimals coincide. The cubic root of 149426160 is about 530.6508676334.

The spelling of 149426160 in words is "one hundred forty-nine million, four hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 47 48 52 60 65 78 80 94 104 120 130 141 156 188 195 208 235 240 260 282 312 376 390 470 520 564 611 624 705 752 780 940 1019 1040 1128 1222 1410 1560 1833 1880 2038 2256 2444 2820 3055 3057 3120 3666 3760 4076 4888 5095 5640 6110 6114 7332 8152 9165 9776 10190 11280 12220 12228 13247 14664 15285 16304 18330 20380 24440 24456 26494 29328 30570 36660 39741 40760 47893 48880 48912 52988 61140 66235 73320 79482 81520 95786 105976 122280 132470 143679 146640 158964 191572 198705 211952 239465 244560 264940 287358 317928 383144 397410 478930 529880 574716 622609 635856 718395 766288 794820 957860 1059760 1149432 1245218 1436790 1589640 1867827 1915720 2298864 2490436 2873580 3113045 3179280 3735654 3831440 4980872 5747160 6226090 7471308 9339135 9961744 11494320 12452180 14942616 18678270 24904360 29885232 37356540 49808720 74713080 149426160