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10930800 = 243529109
BaseRepresentation
bin101001101100…
…101001110000
3202120100020110
4221230221300
510244241200
61030141320
7161624136
oct51545160
922510213
1010930800
116196521
1237b1840
13235943a
141647756
15e5db50
hexa6ca70

10930800 has 60 divisors (see below), whose sum is σ = 35018840. Its totient is φ = 2914560.

The previous prime is 10930793. The next prime is 10930807. The reversal of 10930800 is 803901.

It is an interprime number because it is at equal distance from previous prime (10930793) and next prime (10930807).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10930807) 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 11 ways as a sum of consecutive naturals, for example, 3355 + ... + 5754.

Almost surely, 210930800 is an apocalyptic number.

10930800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10930800 is an abundant number, since it is smaller than the sum of its proper divisors (24088040).

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

10930800 is a wasteful number, since it uses less digits than its factorization.

10930800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9130 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10930800 is about 3306.1760388703. The cubic root of 10930800 is about 221.9306657923.

The spelling of 10930800 in words is "ten million, nine hundred thirty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 9109 18218 27327 36436 45545 54654 72872 91090 109308 136635 145744 182180 218616 227725 273270 364360 437232 455450 546540 683175 728720 910900 1093080 1366350 1821800 2186160 2732700 3643600 5465400 10930800