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11730320 = 245720947
BaseRepresentation
bin101100101111…
…110110010000
3211001221222022
4230233312100
511000332240
61055231012
7201464120
oct54576620
924057868
1011730320
116692188
123b18468
132579324
1417b4c80
15106a9b5
hexb2fd90

11730320 has 40 divisors (see below), whose sum is σ = 31170624. Its totient is φ = 4021632.

The previous prime is 11730319. The next prime is 11730337. The reversal of 11730320 is 2303711.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9914 + ... + 11033.

Almost surely, 211730320 is an apocalyptic number.

11730320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11730320 is an abundant number, since it is smaller than the sum of its proper divisors (19440304).

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

11730320 is a wasteful number, since it uses less digits than its factorization.

11730320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20967 (or 20961 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 11730320 is about 3424.9554741631. The cubic root of 11730320 is about 227.2148018195.

The spelling of 11730320 in words is "eleven million, seven hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 20947 41894 83788 104735 146629 167576 209470 293258 335152 418940 586516 733145 837880 1173032 1466290 1675760 2346064 2932580 5865160 11730320