Search a number
-
+
102000024 = 23327202381
BaseRepresentation
bin1100001010001…
…10010110011000
321002221010201200
412011012112120
5202103000044
614042114200
72345662110
oct605062630
9232833650
10102000024
1152638145
122a1ab960
1318193c59
14d792040
158e4c369
hex6146598

102000024 has 48 divisors (see below), whose sum is σ = 315715920. Its totient is φ = 29142720.

The previous prime is 102000023. The next prime is 102000043. The reversal of 102000024 is 420000201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000023) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 100687 + ... + 101694.

It is an arithmetic number, because the mean of its divisors is an integer number (6577415).

Almost surely, 2102000024 is an apocalyptic number.

102000024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102000024 is an abundant number, since it is smaller than the sum of its proper divisors (213715896).

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

102000024 is a wasteful number, since it uses less digits than its factorization.

102000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202400 (or 202393 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102000024 is about 10099.5061265391. The cubic root of 102000024 is about 467.2329094812.

Adding to 102000024 its reverse (420000201), we get a palindrome (522000225).

The spelling of 102000024 in words is "one hundred two million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 202381 404762 607143 809524 1214286 1416667 1619048 1821429 2428572 2833334 3642858 4250001 4857144 5666668 7285716 8500002 11333336 12750003 14571432 17000004 25500006 34000008 51000012 102000024