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11305020 = 2235188417
BaseRepresentation
bin101011001000…
…000000111100
3210021100120110
4223020000330
510343230040
61042150020
7165043146
oct53100074
923240513
1011305020
1164216a1
123952310
13245a87c
141703c96
15ed4980
hexac803c

11305020 has 24 divisors (see below), whose sum is σ = 31654224. Its totient is φ = 3014656.

The previous prime is 11305003. The next prime is 11305037. The reversal of 11305020 is 2050311.

11305020 = 5122 + 5132 + ... + 5512.

It is an interprime number because it is at equal distance from previous prime (11305003) and next prime (11305037).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11304987 and 11305005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94149 + ... + 94268.

It is an arithmetic number, because the mean of its divisors is an integer number (1318926).

Almost surely, 211305020 is an apocalyptic number.

11305020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11305020 is an abundant number, since it is smaller than the sum of its proper divisors (20349204).

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

11305020 is a wasteful number, since it uses less digits than its factorization.

11305020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188429 (or 188427 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 11305020 is about 3362.2938598522. The cubic root of 11305020 is about 224.4349277263.

Adding to 11305020 its reverse (2050311), we get a palindrome (13355331).

The spelling of 11305020 in words is "eleven million, three hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 188417 376834 565251 753668 942085 1130502 1884170 2261004 2826255 3768340 5652510 11305020