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10930100 = 2252293769
BaseRepresentation
bin101001101100…
…011110110100
3202120022021112
4221230132310
510244230400
61030134152
7161622116
oct51543664
922508245
1010930100
116195a45
1237b1358
13235901c
1416473b6
15e5d835
hexa6c7b4

10930100 has 36 divisors (see below), whose sum is σ = 24542700. Its totient is φ = 4220160.

The previous prime is 10930097. The next prime is 10930103. The reversal of 10930100 is 103901.

It is an interprime number because it is at equal distance from previous prime (10930097) and next prime (10930103).

It can be written as a sum of positive squares in 6 ways, for example, as 26896 + 10903204 = 164^2 + 3302^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10930103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1016 + ... + 4784.

Almost surely, 210930100 is an apocalyptic number.

10930100 is a gapful number since it is divisible by the number (10) 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 10930100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12271350).

10930100 is an abundant number, since it is smaller than the sum of its proper divisors (13612600).

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

10930100 is a wasteful number, since it uses less digits than its factorization.

10930100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 10930100 is about 3306.0701746938. The cubic root of 10930100 is about 221.9259282682.

The spelling of 10930100 in words is "ten million, nine hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 3769 7538 15076 18845 37690 75380 94225 109301 188450 218602 376900 437204 546505 1093010 2186020 2732525 5465050 10930100