Search a number
-
+
158545332 = 2232112172141
BaseRepresentation
bin10010111001100…
…11010110110100
3102001022221022100
421130303112310
5311041422312
623422102100
73633420201
oct1134632664
9361287270
10158545332
1181549500
124511a930
1326b0160a
14170b0ca8
15ddbb5dc
hex97335b4

158545332 has 108 divisors (see below), whose sum is σ = 466643268. Its totient is φ = 45196800.

The previous prime is 158545327. The next prime is 158545363. The reversal of 158545332 is 233545851.

158545332 is a `hidden beast` number, since 1 + 585 + 45 + 3 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139570596 + 18974736 = 11814^2 + 4356^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 72982 + ... + 75122.

It is an arithmetic number, because the mean of its divisors is an integer number (4320771).

Almost surely, 2158545332 is an apocalyptic number.

158545332 is a gapful number since it is divisible by the number (12) 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 158545332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233321634).

158545332 is an abundant number, since it is smaller than the sum of its proper divisors (308097936).

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

158545332 is a wasteful number, since it uses less digits than its factorization.

158545332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2174 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 158545332 is about 12591.4785470174. The cubic root of 158545332 is about 541.2332717994.

It can be divided in two parts, 158 and 545332, that added together give a triangular number (545490 = T1044).

The spelling of 158545332 in words is "one hundred fifty-eight million, five hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 187 198 204 242 306 363 374 396 484 561 612 726 748 1089 1122 1452 1683 2057 2141 2178 2244 3366 4114 4282 4356 6171 6423 6732 8228 8564 12342 12846 18513 19269 23551 24684 25692 36397 37026 38538 47102 70653 72794 74052 77076 94204 109191 141306 145588 211959 218382 259061 282612 327573 400367 423918 436764 518122 655146 777183 800734 847836 1036244 1201101 1310292 1554366 1601468 2331549 2402202 3108732 3603303 4404037 4663098 4804404 7206606 8808074 9326196 13212111 14413212 17616148 26424222 39636333 52848444 79272666 158545332