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18000920 = 2357531213
BaseRepresentation
bin100010010101…
…0110000011000
31020212112121202
41010222300120
514102012140
61441453332
7306001550
oct104526030
936775552
1018000920
11a1853a3
126041248
133963542
142568160
1518a8915
hex112ac18

18000920 has 64 divisors (see below), whose sum is σ = 47200320. Its totient is φ = 6050304.

The previous prime is 18000919. The next prime is 18000937. The reversal of 18000920 is 2900081.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 18000892 and 18000901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14234 + ... + 15446.

It is an arithmetic number, because the mean of its divisors is an integer number (737505).

Almost surely, 218000920 is an apocalyptic number.

18000920 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 18000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23600160).

18000920 is an abundant number, since it is smaller than the sum of its proper divisors (29199400).

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

18000920 is a wasteful number, since it uses less digits than its factorization.

18000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 18000920 is about 4242.7491087737. The cubic root of 18000920 is about 262.0786043116.

The spelling of 18000920 in words is "eighteen million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1213 1484 1855 2120 2426 2968 3710 4852 6065 7420 8491 9704 12130 14840 16982 24260 33964 42455 48520 64289 67928 84910 128578 169820 257156 321445 339640 450023 514312 642890 900046 1285780 1800092 2250115 2571560 3600184 4500230 9000460 18000920