Search a number
-
+
102018048 = 2103113019
BaseRepresentation
bin1100001010010…
…10110000000000
321002222001110020
412011022300000
5202104034143
614042333440
72346065466
oct605126000
9232861406
10102018048
115264a740
122a1ba280
131819c212
14d798836
158e52883
hex614ac00

102018048 has 88 divisors (see below), whose sum is σ = 296733120. Its totient is φ = 30904320.

The previous prime is 102018017. The next prime is 102018053. The reversal of 102018048 is 840810201.

It is a tau number, because it is divible by the number of its divisors (88).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32283 + ... + 35301.

Almost surely, 2102018048 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 102018048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148366560).

102018048 is an abundant number, since it is smaller than the sum of its proper divisors (194715072).

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

102018048 is a wasteful number, since it uses less digits than its factorization.

102018048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 102018048 is about 10100.3984079837. The cubic root of 102018048 is about 467.2604287884.

Adding to 102018048 its reverse (840810201), we get a palindrome (942828249).

The spelling of 102018048 in words is "one hundred two million, eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3019 3072 4224 5632 6038 8448 9057 11264 12076 16896 18114 24152 33209 33792 36228 48304 66418 72456 96608 99627 132836 144912 193216 199254 265672 289824 386432 398508 531344 579648 772864 797016 1062688 1159296 1545728 1594032 2125376 2318592 3091456 3188064 4250752 4637184 6376128 8501504 9274368 12752256 17003008 25504512 34006016 51009024 102018048