Search a number
-
+
155101200 = 24352177603
BaseRepresentation
bin10010011111010…
…10100000010000
3101210211221211220
421033222200100
5304201214300
623220205040
73562224042
oct1117524020
9353757756
10155101200
117a606911
1243b39780
1326196a77
1416855a92
15d93ada0
hex93ea810

155101200 has 120 divisors (see below), whose sum is σ = 526135968. Its totient is φ = 38922240.

The previous prime is 155101171. The next prime is 155101229. The reversal of 155101200 is 2101551.

It is an interprime number because it is at equal distance from previous prime (155101171) and next prime (155101229).

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 155101200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16599 + ... + 24201.

Almost surely, 2155101200 is an apocalyptic number.

155101200 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 155101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263067984).

155101200 is an abundant number, since it is smaller than the sum of its proper divisors (371034768).

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

155101200 is a wasteful number, since it uses less digits than its factorization.

155101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 155101200 is about 12453.9632246125. The cubic root of 155101200 is about 537.2854164174.

Adding to 155101200 its reverse (2101551), we get a palindrome (157202751).

The spelling of 155101200 in words is "one hundred fifty-five million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 7603 10200 15206 20400 22809 30412 38015 45618 60824 76030 91236 114045 121648 129251 152060 182472 190075 228090 258502 304120 364944 380150 387753 456180 517004 570225 608240 646255 760300 775506 912360 1034008 1140450 1292510 1520600 1551012 1824720 1938765 2068016 2280900 2585020 3041200 3102024 3231275 3877530 4561800 5170040 6204048 6462550 7755060 9123600 9693825 10340080 12925100 15510120 19387650 25850200 31020240 38775300 51700400 77550600 155101200