Search a number
-
+
103391532 = 223323107389
BaseRepresentation
bin1100010100110…
…10000100101100
321012112211112000
412022122010230
5202432012112
614132012300
72363546016
oct612320454
9235484460
10103391532
11533a8652
122a761090
131856042a
14da351b6
1591247dc
hex629a12c

103391532 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 32573376.

The previous prime is 103391531. The next prime is 103391539. The reversal of 103391532 is 235193301.

It is a happy number.

103391532 is a `hidden beast` number, since 10 + 33 + 91 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103391496 and 103391505.

It is not an unprimeable number, because it can be changed into a prime (103391531) 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 31 ways as a sum of consecutive naturals, for example, 265594 + ... + 265982.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2103391532 is an apocalyptic number.

103391532 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 103391532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

103391532 is an abundant number, since it is smaller than the sum of its proper divisors (179654868).

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

103391532 is a wasteful number, since it uses less digits than its factorization.

103391532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 103391532 is about 10168.1626658900. The cubic root of 103391532 is about 469.3480200957.

The spelling of 103391532 in words is "one hundred three million, three hundred ninety-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 107 108 138 207 214 276 321 389 414 428 621 642 778 828 963 1167 1242 1284 1556 1926 2334 2461 2484 2889 3501 3852 4668 4922 5778 7002 7383 8947 9844 10503 11556 14004 14766 17894 21006 22149 26841 29532 35788 41623 42012 44298 53682 66447 80523 83246 88596 107364 124869 132894 161046 166492 241569 249738 265788 322092 374607 483138 499476 749214 957329 966276 1123821 1498428 1914658 2247642 2871987 3829316 4495284 5743974 8615961 11487948 17231922 25847883 34463844 51695766 103391532