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18029968 = 2411267139
BaseRepresentation
bin100010011000…
…1110110010000
31020221000110121
41010301312100
514103424333
61442240024
7306152335
oct104616620
936830417
1018029968
11a1a5200
126056014
133973828
14257498c
1518b232d
hex1131d90

18029968 has 60 divisors (see below), whose sum is σ = 39250960. Its totient is φ = 8015040.

The previous prime is 18029959. The next prime is 18029969. The reversal of 18029968 is 86992081.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18029969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129643 + ... + 129781.

Almost surely, 218029968 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 18029968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19625480).

18029968 is an abundant number, since it is smaller than the sum of its proper divisors (21220992).

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

18029968 is a wasteful number, since it uses less digits than its factorization.

18029968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 18029968 is about 4246.1709810134. The cubic root of 18029968 is about 262.2195002218.

The spelling of 18029968 in words is "eighteen million, twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 67 88 121 134 139 176 242 268 278 484 536 556 737 968 1072 1112 1474 1529 1936 2224 2948 3058 5896 6116 8107 9313 11792 12232 16214 16819 18626 24464 32428 33638 37252 64856 67276 74504 102443 129712 134552 149008 204886 269104 409772 819544 1126873 1639088 2253746 4507492 9014984 18029968