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155514132 = 223223613079
BaseRepresentation
bin10010100010011…
…11010100010100
3101211121221021200
421101033110110
5304302423012
623233112500
73565563654
oct1121172424
9354557250
10155514132
117a869084
12440b8730
13262ac9c7
1416922364
15d9bd3dc
hex944f514

155514132 has 72 divisors (see below), whose sum is σ = 417056640. Its totient is φ = 48755520.

The previous prime is 155514127. The next prime is 155514157. The reversal of 155514132 is 231415551.

155514132 is a `hidden beast` number, since 15 + 5 + 514 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 155514096 and 155514105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48969 + ... + 52047.

Almost surely, 2155514132 is an apocalyptic number.

155514132 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 155514132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208528320).

155514132 is an abundant number, since it is smaller than the sum of its proper divisors (261542508).

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

155514132 is a wasteful number, since it uses less digits than its factorization.

155514132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3168 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 155514132 is about 12470.5305420419. The cubic root of 155514132 is about 537.7618059002.

Adding to 155514132 its reverse (231415551), we get a palindrome (386929683).

It can be divided in two parts, 15551 and 4132, that added together give a 9-th power (19683 = 39).

The spelling of 155514132 in words is "one hundred fifty-five million, five hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 61 69 92 122 138 183 207 244 276 366 414 549 732 828 1098 1403 2196 2806 3079 4209 5612 6158 8418 9237 12316 12627 16836 18474 25254 27711 36948 50508 55422 70817 110844 141634 187819 212451 283268 375638 424902 563457 637353 751276 849804 1126914 1274706 1690371 2253828 2549412 3380742 4319837 6761484 8639674 12959511 17279348 25919022 38878533 51838044 77757066 155514132