Search a number
-
+
103006032 = 2432299371
BaseRepresentation
bin1100010001110…
…11111101010000
321011211020201020
412020323331100
5202332143112
614115435440
72360352063
oct610737520
9234736636
10103006032
1153164a58
122a5b5b80
1318456b1c
14d9748da
15909a48c
hex623bf50

103006032 has 40 divisors (see below), whose sum is σ = 267289440. Its totient is φ = 34181760.

The previous prime is 103006031. The next prime is 103006037. The reversal of 103006032 is 230600301.

It is a super-2 number, since 2×1030060322 = 21220485256770048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103006031) 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, 6307 + ... + 15677.

It is an arithmetic number, because the mean of its divisors is an integer number (6682236).

Almost surely, 2103006032 is an apocalyptic number.

103006032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103006032 is an abundant number, since it is smaller than the sum of its proper divisors (164283408).

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

103006032 is a wasteful number, since it uses less digits than its factorization.

103006032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9611 (or 9605 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 103006032 is about 10149.1887360518. The cubic root of 103006032 is about 468.7639651662.

Adding to 103006032 its reverse (230600301), we get a palindrome (333606333).

The spelling of 103006032 in words is "one hundred three million, six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 229 458 687 916 1374 1832 2748 3664 5496 9371 10992 18742 28113 37484 56226 74968 112452 149936 224904 449808 2145959 4291918 6437877 8583836 12875754 17167672 25751508 34335344 51503016 103006032