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11930520 = 2335722029
BaseRepresentation
bin101101100000…
…101110011000
3211110010121010
4231200232120
511023234040
61103413520
7203256600
oct55405630
924403533
1011930520
116809638
123bb42a0
1326194a4
141827c00
1510a9e80
hexb60b98

11930520 has 96 divisors (see below), whose sum is σ = 41655600. Its totient is φ = 2725632.

The previous prime is 11930519. The next prime is 11930521. The reversal of 11930520 is 2503911.

It is an interprime number because it is at equal distance from previous prime (11930519) and next prime (11930521).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11930521) 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 23 ways as a sum of consecutive naturals, for example, 4866 + ... + 6894.

Almost surely, 211930520 is an apocalyptic number.

11930520 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 11930520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827800).

11930520 is an abundant number, since it is smaller than the sum of its proper divisors (29725080).

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

11930520 is a wasteful number, since it uses less digits than its factorization.

11930520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 11930520 is about 3454.0584824232. The cubic root of 11930520 is about 228.5001332701.

The spelling of 11930520 in words is "eleven million, nine hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2029 2940 4058 5880 6087 8116 10145 12174 14203 16232 20290 24348 28406 30435 40580 42609 48696 56812 60870 71015 81160 85218 99421 113624 121740 142030 170436 198842 213045 243480 284060 298263 340872 397684 426090 497105 568120 596526 795368 852180 994210 1193052 1491315 1704360 1988420 2386104 2982630 3976840 5965260 11930520