Search a number
-
+
158580990 = 23452943157
BaseRepresentation
bin10010111001111…
…00000011111110
3102001101202020000
421130330003332
5311044042430
623422535130
73633626151
oct1134740376
9361352200
10158580990
1181573277
12451374a6
1326b14909
14170bdc98
15ddc6e60
hex973c0fe

158580990 has 160 divisors (see below), whose sum is σ = 454243680. Its totient is φ = 39626496.

The previous prime is 158580943. The next prime is 158581013. The reversal of 158580990 is 99085851.

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 79 ways as a sum of consecutive naturals, for example, 1009992 + ... + 1010148.

It is an arithmetic number, because the mean of its divisors is an integer number (2839023).

Almost surely, 2158580990 is an apocalyptic number.

158580990 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 158580990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227121840).

158580990 is an abundant number, since it is smaller than the sum of its proper divisors (295662690).

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

158580990 is a wasteful number, since it uses less digits than its factorization.

158580990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 158580990 is about 12592.8944250319. The cubic root of 158580990 is about 541.2738445262.

The spelling of 158580990 in words is "one hundred fifty-eight million, five hundred eighty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 43 45 54 58 81 86 87 90 129 135 145 157 162 174 215 258 261 270 290 314 387 405 430 435 471 522 645 774 783 785 810 870 942 1161 1247 1290 1305 1413 1566 1570 1935 2322 2349 2355 2494 2610 2826 3483 3741 3870 3915 4239 4553 4698 4710 5805 6235 6751 6966 7065 7482 7830 8478 9106 11223 11610 11745 12470 12717 13502 13659 14130 17415 18705 20253 21195 22446 22765 23490 25434 27318 33669 33755 34830 37410 40506 40977 42390 45530 56115 60759 63585 67338 67510 68295 81954 101007 101265 112230 121518 122931 127170 136590 168345 182277 195779 202014 202530 204885 245862 303795 336690 364554 368793 391558 409770 505035 546831 587337 607590 614655 737586 911385 978895 1010070 1093662 1174674 1229310 1762011 1822770 1843965 1957790 2734155 2936685 3524022 3687930 5286033 5468310 5873370 8810055 10572066 15858099 17620110 26430165 31716198 52860330 79290495 158580990