Search a number
-
+
18745890 = 235292743
BaseRepresentation
bin100011110000…
…0101000100010
31022021101112020
41013200220202
514244332030
61505442310
7315223512
oct107405042
938241466
1018745890
11a644079
126340396
133b64657
1426bd842
1519a4510
hex11e0a22

18745890 has 48 divisors (see below), whose sum is σ = 46657728. Its totient is φ = 4820032.

The previous prime is 18745879. The next prime is 18745891. The reversal of 18745890 is 9854781.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (18745891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24859 + ... + 25601.

It is an arithmetic number, because the mean of its divisors is an integer number (972036).

Almost surely, 218745890 is an apocalyptic number.

18745890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18745890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328864).

18745890 is an abundant number, since it is smaller than the sum of its proper divisors (27911838).

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

18745890 is a wasteful number, since it uses less digits than its factorization.

18745890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 18745890 is about 4329.6524109910. The cubic root of 18745890 is about 265.6452296473.

The spelling of 18745890 in words is "eighteen million, seven hundred forty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 743 841 870 1486 1682 2229 2523 3715 4205 4458 5046 7430 8410 11145 12615 21547 22290 25230 43094 64641 107735 129282 215470 323205 624863 646410 1249726 1874589 3124315 3749178 6248630 9372945 18745890