Search a number
-
+
155565000 = 2332543457
BaseRepresentation
bin10010100010110…
…11101111001000
3101211201112001200
421101123233020
5304311040000
623234144200
73566165163
oct1121335710
9354645050
10155565000
117a8a3318
1244122060
13262c9bc6
1416936ada
15d9cd500
hex945bbc8

155565000 has 120 divisors (see below), whose sum is σ = 526636110. Its totient is φ = 41472000.

The previous prime is 155564993. The next prime is 155565001. The reversal of 155565000 is 565551.

155565000 is a `hidden beast` number, since 1 + 5 + 5 + 5 + 650 + 0 + 0 = 666.

155565000 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 5 ways, for example, as 7650756 + 147914244 = 2766^2 + 12162^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155565001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 43272 + ... + 46728.

Almost surely, 2155565000 is an apocalyptic number.

155565000 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 155565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263318055).

155565000 is an abundant number, since it is smaller than the sum of its proper divisors (371071110).

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

155565000 is a wasteful number, since it uses less digits than its factorization.

155565000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 155565000 is about 12472.5699035924. The cubic root of 155565000 is about 537.8204326954.

The spelling of 155565000 in words is "one hundred fifty-five million, five hundred sixty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3457 3750 4500 5000 5625 6914 7500 9000 10371 11250 13828 15000 17285 20742 22500 27656 31113 34570 41484 45000 51855 62226 69140 82968 86425 103710 124452 138280 155565 172850 207420 248904 259275 311130 345700 414840 432125 518550 622260 691400 777825 864250 1037100 1244520 1296375 1555650 1728500 2074200 2160625 2592750 3111300 3457000 3889125 4321250 5185500 6222600 6481875 7778250 8642500 10371000 12963750 15556500 17285000 19445625 25927500 31113000 38891250 51855000 77782500 155565000