Search a number
-
+
103402512 = 24323072339
BaseRepresentation
bin1100010100111…
…00110000010000
321012120101120200
412022130300100
5202432340022
614132135200
72363623023
oct612346020
9235511520
10103402512
1153405924
122a767500
1318565425
14da391ba
159127bac
hex629cc10

103402512 has 60 divisors (see below), whose sum is σ = 290450160. Its totient is φ = 34340544.

The previous prime is 103402501. The next prime is 103402561. The reversal of 103402512 is 215204301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43039 + ... + 45377.

It is an arithmetic number, because the mean of its divisors is an integer number (4840836).

Almost surely, 2103402512 is an apocalyptic number.

103402512 is a gapful number since it is divisible by the number (12) 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 103402512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145225080).

103402512 is an abundant number, since it is smaller than the sum of its proper divisors (187047648).

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

103402512 is a wasteful number, since it uses less digits than its factorization.

103402512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103402512 is about 10168.7025721082. The cubic root of 103402512 is about 469.3646341541.

Adding to 103402512 its reverse (215204301), we get a palindrome (318606813).

The spelling of 103402512 in words is "one hundred three million, four hundred two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1228 1842 2339 2456 2763 3684 4678 4912 5526 7017 7368 9356 11052 14034 14736 18712 21051 22104 28068 37424 42102 44208 56136 84204 112272 168408 336816 718073 1436146 2154219 2872292 4308438 5744584 6462657 8616876 11489168 12925314 17233752 25850628 34467504 51701256 103402512