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18140920 = 235767967
BaseRepresentation
bin100010100110…
…0111011111000
31021010122122221
41011030323320
514121002140
61444453424
7310123660
oct105147370
937118587
1018140920
11a2705a6
1260aa274
1339b2195
1425a31a0
1518d514a
hex114cef8

18140920 has 64 divisors (see below), whose sum is σ = 47393280. Its totient is φ = 6120576.

The previous prime is 18140917. The next prime is 18140923. The reversal of 18140920 is 2904181.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18140917) and next prime (18140923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18140923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18277 + ... + 19243.

It is an arithmetic number, because the mean of its divisors is an integer number (740520).

Almost surely, 218140920 is an apocalyptic number.

18140920 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 18140920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23696640).

18140920 is an abundant number, since it is smaller than the sum of its proper divisors (29252360).

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

18140920 is a wasteful number, since it uses less digits than its factorization.

18140920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 18140920 is about 4259.2158902784. The cubic root of 18140920 is about 262.7562788140.

The spelling of 18140920 in words is "eighteen million, one hundred forty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 967 1340 1876 1934 2345 2680 3752 3868 4690 4835 6769 7736 9380 9670 13538 18760 19340 27076 33845 38680 54152 64789 67690 129578 135380 259156 270760 323945 453523 518312 647890 907046 1295780 1814092 2267615 2591560 3628184 4535230 9070460 18140920