Search a number
-
+
18874968 = 2337283397
BaseRepresentation
bin100100000000…
…0001001011000
31022111221120220
41020000021120
514312444333
61512320040
7316302030
oct110001130
938457526
1018874968
11a722052
1263a3020
133bab328
1427148c0
1519cc8b3
hex1200258

18874968 has 64 divisors (see below), whose sum is σ = 54255360. Its totient is φ = 5360256.

The previous prime is 18874963. The next prime is 18874987. The reversal of 18874968 is 86947881.

It is a self number, because there is not a number n which added to its sum of digits gives 18874968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18874963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47346 + ... + 47742.

It is an arithmetic number, because the mean of its divisors is an integer number (847740).

Almost surely, 218874968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18874968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27127680).

18874968 is an abundant number, since it is smaller than the sum of its proper divisors (35380392).

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

18874968 is a wasteful number, since it uses less digits than its factorization.

18874968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 692 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 18874968 is about 4344.5331164580. The cubic root of 18874968 is about 266.2535506150.

The spelling of 18874968 in words is "eighteen million, eight hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 397 566 794 849 1132 1191 1588 1698 1981 2264 2382 2779 3176 3396 3962 4764 5558 5943 6792 7924 8337 9528 11116 11886 15848 16674 22232 23772 33348 47544 66696 112351 224702 337053 449404 674106 786457 898808 1348212 1572914 2359371 2696424 3145828 4718742 6291656 9437484 18874968