Search a number
-
+
18063972 = 2234127439
BaseRepresentation
bin100010011101…
…0001001100100
31020222202010000
41010322021210
514111021342
61443101300
7306353433
oct104721144
936882100
1018063972
11a218803
126071830
133986154
14258311a
1518bc44c
hex113a264

18063972 has 60 divisors (see below), whose sum is σ = 47703040. Its totient is φ = 5960304.

The previous prime is 18063967. The next prime is 18063977. The reversal of 18063972 is 27936081.

18063972 is a `hidden beast` number, since 18 + 0 + 639 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (18063967) and next prime (18063977).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18063977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40929 + ... + 41367.

Almost surely, 218063972 is an apocalyptic number.

18063972 is a gapful number since it is divisible by the number (12) 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 18063972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23851520).

18063972 is an abundant number, since it is smaller than the sum of its proper divisors (29639068).

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

18063972 is a wasteful number, since it uses less digits than its factorization.

18063972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 18063972 is about 4250.1731729425. The cubic root of 18063972 is about 262.3842428385.

It can be divided in two parts, 1806 and 3972, that added together give a triangular number (5778 = T107).

The spelling of 18063972 in words is "eighteen million, sixty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 324 381 439 508 762 878 1143 1317 1524 1756 2286 2634 3429 3951 4572 5268 6858 7902 10287 11853 13716 15804 20574 23706 35559 41148 47412 55753 71118 111506 142236 167259 223012 334518 501777 669036 1003554 1505331 2007108 3010662 4515993 6021324 9031986 18063972