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158989320 = 23325729013
BaseRepresentation
bin10010111100111…
…11110000001000
3102002011111100100
421132133300020
5311200124240
623435405400
73640246500
oct1136376010
9362144310
10158989320
1181822036
12452b3860
1326c28729
1417188a00
15de57e30
hex979fc08

158989320 has 144 divisors (see below), whose sum is σ = 601143660. Its totient is φ = 36336384.

The previous prime is 158989319. The next prime is 158989331. The reversal of 158989320 is 23989851.

It is a happy number.

158989320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 157703364 + 1285956 = 12558^2 + 1134^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13134 + ... + 22146.

Almost surely, 2158989320 is an apocalyptic number.

158989320 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 158989320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300571830).

158989320 is an abundant number, since it is smaller than the sum of its proper divisors (442154340).

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

158989320 is a wasteful number, since it uses less digits than its factorization.

158989320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9044 (or 9030 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 158989320 is about 12609.0967162601. The cubic root of 158989320 is about 541.7380214743.

It can be divided in two parts, 1589 and 89320, that added together give a palindrome (90909).

The spelling of 158989320 in words is "one hundred fifty-eight million, nine hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 9013 17640 18026 27039 36052 45065 54078 63091 72104 81117 90130 108156 126182 135195 162234 180260 189273 216312 252364 270390 315455 324468 360520 378546 405585 441637 504728 540780 567819 630910 648936 757092 811170 883274 946365 1081560 1135638 1261820 1324911 1514184 1622340 1766548 1892730 2208185 2271276 2523640 2649822 2839095 3244680 3533096 3785460 3974733 4416370 4542552 5299644 5678190 6624555 7570920 7949466 8832740 10599288 11356380 13249110 15898932 17665480 19873665 22712760 26498220 31797864 39747330 52996440 79494660 158989320