Search a number
-
+
103002032 = 2471815081
BaseRepresentation
bin1100010001110…
…10111110110000
321011211001020002
412020322332300
5202332031112
614115405132
72360334320
oct610727660
9234731202
10103002032
1153161a51
122a5b37a8
1318455063
14d973280
1590991c2
hex623afb0

103002032 has 40 divisors (see below), whose sum is σ = 229381152. Its totient is φ = 43891200.

The previous prime is 103002019. The next prime is 103002037. The reversal of 103002032 is 230200301.

It is a super-2 number, since 2×1030020322 = 21218837192258048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103002037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17732 + ... + 22812.

Almost surely, 2103002032 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 103002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114690576).

103002032 is an abundant number, since it is smaller than the sum of its proper divisors (126379120).

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

103002032 is a wasteful number, since it uses less digits than its factorization.

103002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 103002032 is about 10148.9916740531. The cubic root of 103002032 is about 468.7578973010.

Adding to 103002032 its reverse (230200301), we get a palindrome (333202333).

The spelling of 103002032 in words is "one hundred three million, two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 181 362 724 1267 1448 2534 2896 5068 5081 10136 10162 20272 20324 35567 40648 71134 81296 142268 284536 569072 919661 1839322 3678644 6437627 7357288 12875254 14714576 25750508 51501016 103002032