Search a number
-
+
148965390 = 232572171987
BaseRepresentation
bin10001110000100…
…00100000001110
3101101022020002200
420320100200032
5301113343030
622440502330
73456120300
oct1070204016
9341266080
10148965390
11770a59a2
1241a7a9a6
1324b29002
1415ad9970
15d127d60
hex8e1080e

148965390 has 144 divisors (see below), whose sum is σ = 477286992. Its totient is φ = 32030208.

The previous prime is 148965379. The next prime is 148965413. The reversal of 148965390 is 93569841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73977 + ... + 75963.

It is an arithmetic number, because the mean of its divisors is an integer number (3314493).

Almost surely, 2148965390 is an apocalyptic number.

148965390 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 148965390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238643496).

148965390 is an abundant number, since it is smaller than the sum of its proper divisors (328321602).

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

148965390 is a wasteful number, since it uses less digits than its factorization.

148965390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 148965390 is about 12205.1378525603. The cubic root of 148965390 is about 530.1048682960.

The spelling of 148965390 in words is "one hundred forty-eight million, nine hundred sixty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 49 51 63 70 85 90 98 102 105 119 126 147 153 170 210 238 245 255 294 306 315 357 441 490 510 595 630 714 735 765 833 882 1071 1190 1470 1530 1666 1785 1987 2142 2205 2499 3570 3974 4165 4410 4998 5355 5961 7497 8330 9935 10710 11922 12495 13909 14994 17883 19870 24990 27818 29805 33779 35766 37485 41727 59610 67558 69545 74970 83454 89415 97363 101337 125181 139090 168895 178830 194726 202674 208635 236453 250362 292089 304011 337790 417270 472906 486815 506685 584178 608022 625905 709359 876267 973630 1013370 1182265 1251810 1418718 1460445 1520055 1655171 1752534 2128077 2364530 2920890 3040110 3310342 3546795 4256154 4381335 4965513 7093590 8275855 8762670 9931026 10640385 14896539 16551710 21280770 24827565 29793078 49655130 74482695 148965390