Search a number
-
+
145643100 = 223523713121
BaseRepresentation
bin10001010111001…
…01011001011100
3101011001102202220
420223211121130
5244241034400
622241345340
73415642311
oct1053453134
9334042686
10145643100
11752368a9
1240938250
1324234a65
14154b2d08
15cbbd7a0
hex8ae565c

145643100 has 72 divisors (see below), whose sum is σ = 432816048. Its totient is φ = 37785600.

The previous prime is 145643087. The next prime is 145643119. The reversal of 145643100 is 1346541.

145643100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1456431002 = 42423825155220000, which contains 22 as substring.

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, 4540 + ... + 17660.

It is an arithmetic number, because the mean of its divisors is an integer number (6011334).

Almost surely, 2145643100 is an apocalyptic number.

145643100 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 145643100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216408024).

145643100 is an abundant number, since it is smaller than the sum of its proper divisors (287172948).

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

145643100 is a wasteful number, since it uses less digits than its factorization.

145643100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13175 (or 13168 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 145643100 is about 12068.2683099109. The cubic root of 145643100 is about 526.1343274255.

Adding to 145643100 its reverse (1346541), we get a palindrome (146989641).

The spelling of 145643100 in words is "one hundred forty-five million, six hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 13121 26242 39363 52484 65605 78726 131210 157452 196815 262420 328025 393630 485477 656050 787260 970954 984075 1312100 1456431 1941908 1968150 2427385 2912862 3936300 4854770 5825724 7282155 9709540 12136925 14564310 24273850 29128620 36410775 48547700 72821550 145643100