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103030032 = 24372391283
BaseRepresentation
bin1100010010000…
…01110100010000
321011212110122010
412021001310100
5202333430112
614120142520
72360512050
oct611016420
9234773563
10103030032
1153180a96
122a607a40
1318464a21
14d97d560
1590a263c
hex6241d10

103030032 has 80 divisors (see below), whose sum is σ = 305694720. Its totient is φ = 29291136.

The previous prime is 103029991. The next prime is 103030033. The reversal of 103030032 is 230030301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (103030033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79663 + ... + 80945.

It is an arithmetic number, because the mean of its divisors is an integer number (3821184).

Almost surely, 2103030032 is an apocalyptic number.

103030032 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 103030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152847360).

103030032 is an abundant number, since it is smaller than the sum of its proper divisors (202664688).

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

103030032 is a wasteful number, since it uses less digits than its factorization.

103030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 103030032 is about 10150.3710277014. The cubic root of 103030032 is about 468.8003690586.

Adding to 103030032 its reverse (230030301), we get a palindrome (333060333).

The spelling of 103030032 in words is "one hundred three million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 239 336 478 717 956 1283 1434 1673 1912 2566 2868 3346 3824 3849 5019 5132 5736 6692 7698 8981 10038 10264 11472 13384 15396 17962 20076 20528 26768 26943 30792 35924 40152 53886 61584 71848 80304 107772 143696 215544 306637 431088 613274 919911 1226548 1839822 2146459 2453096 3679644 4292918 4906192 6439377 7359288 8585836 12878754 14718576 17171672 25757508 34343344 51515016 103030032