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930100 = 225271131
BaseRepresentation
bin11100011000100110100
31202020212011
43203010310
5214230400
631534004
710622443
oct3430464
91666764
10930100
11585886
1238a304
13267472
141a2d5a
151358ba
hexe3134

930100 has 36 divisors (see below), whose sum is σ = 2062368. Its totient is φ = 364000.

The previous prime is 930089. The next prime is 930101. The reversal of 930100 is 1039.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930101) by changing a digit.

930100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7035 + ... + 7165.

It is an arithmetic number, because the mean of its divisors is an integer number (57288).

2930100 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 930100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031184).

930100 is an abundant number, since it is smaller than the sum of its proper divisors (1132268).

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

930100 is a wasteful number, since it uses less digits than its factorization.

930100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 930100 is about 964.4169222904. The cubic root of 930100 is about 97.6134992078.

Adding to 930100 its reverse (1039), we get a palindrome (931139).

The spelling of 930100 in words is "nine hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 131 142 262 284 355 524 655 710 1310 1420 1775 2620 3275 3550 6550 7100 9301 13100 18602 37204 46505 93010 186020 232525 465050 930100