Search a number
-
+
149273190 = 2325111311151
BaseRepresentation
bin10001110010110…
…11101001100110
3101101212212022200
420321123221212
5301203220230
622451235330
73461541543
oct1071335146
9341785280
10149273190
1177296180
1241ba8b46
1324c06141
1415b79bca
15d189160
hex8e5ba66

149273190 has 96 divisors (see below), whose sum is σ = 426995712. Its totient is φ = 35880000.

The previous prime is 149273149. The next prime is 149273219. The reversal of 149273190 is 91372941.

It is a super-2 number, since 2×1492731902 = 44564970505552200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129115 + ... + 130265.

It is an arithmetic number, because the mean of its divisors is an integer number (4447872).

Almost surely, 2149273190 is an apocalyptic number.

149273190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149273190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213497856).

149273190 is an abundant number, since it is smaller than the sum of its proper divisors (277722522).

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

149273190 is a wasteful number, since it uses less digits than its factorization.

149273190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 149273190 is about 12217.7407895241. The cubic root of 149273190 is about 530.4697271544.

The spelling of 149273190 in words is "one hundred forty-nine million, two hundred seventy-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 131 165 198 262 330 393 495 655 786 990 1151 1179 1310 1441 1965 2302 2358 2882 3453 3930 4323 5755 5895 6906 7205 8646 10359 11510 11790 12661 12969 14410 17265 20718 21615 25322 25938 34530 37983 43230 51795 63305 64845 75966 103590 113949 126610 129690 150781 189915 227898 301562 379830 452343 569745 753905 904686 1139490 1357029 1507810 1658591 2261715 2714058 3317182 4523430 4975773 6785145 8292955 9951546 13570290 14927319 16585910 24878865 29854638 49757730 74636595 149273190