Search a number
-
+
544152120 = 233521121491
BaseRepresentation
bin100000011011110…
…001101000111000
31101220220210101020
4200123301220320
52103300331440
6125555022440
716325134221
oct4033615070
91356823336
10544152120
1125a1835a6
1213229aa20
1388973805
14523aa248
1532b8a3d0
hex206f1a38

544152120 has 64 divisors (see below), whose sum is σ = 1640269440. Its totient is φ = 144412800.

The previous prime is 544152107. The next prime is 544152137. The reversal of 544152120 is 21251445.

It is a super-2 number, since 2×5441521202 = 592203059400988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14575 + ... + 36065.

It is an arithmetic number, because the mean of its divisors is an integer number (25629210).

Almost surely, 2544152120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820134720).

544152120 is an abundant number, since it is smaller than the sum of its proper divisors (1096117320).

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

544152120 is a wasteful number, since it uses less digits than its factorization.

544152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21716 (or 21712 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 544152120 is about 23327.0683970361. The cubic root of 544152120 is about 816.4071041468.

The spelling of 544152120 in words is "five hundred forty-four million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 422 633 844 1055 1266 1688 2110 2532 3165 4220 5064 6330 8440 12660 21491 25320 42982 64473 85964 107455 128946 171928 214910 257892 322365 429820 515784 644730 859640 1289460 2578920 4534601 9069202 13603803 18138404 22673005 27207606 36276808 45346010 54415212 68019015 90692020 108830424 136038030 181384040 272076060 544152120