Search a number
-
+
16121448 = 23327291103
BaseRepresentation
bin111101011111…
…111001101000
31010100001110200
4331133321220
513111341243
61333312200
7254013210
oct75377150
933301420
1016121448
119111312
125495660
133455c25
1421d9240
151636ad3
hexf5fe68

16121448 has 96 divisors (see below), whose sum is σ = 51667200. Its totient is φ = 4443264.

The previous prime is 16121447. The next prime is 16121449. The reversal of 16121448 is 84412161.

It is a happy number.

16121448 is a `hidden beast` number, since 1 + 612 + 1 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (16121447) and next prime (16121449).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16121447) 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, 14065 + ... + 15167.

It is an arithmetic number, because the mean of its divisors is an integer number (538200).

Almost surely, 216121448 is an apocalyptic number.

16121448 is a gapful number since it is divisible by the number (18) 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 16121448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25833600).

16121448 is an abundant number, since it is smaller than the sum of its proper divisors (35545752).

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

16121448 is a wasteful number, since it uses less digits than its factorization.

16121448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1144 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 16121448 is about 4015.1523009719. The cubic root of 16121448 is about 252.6201656576.

It can be divided in two parts, 161 and 21448, that added together give a square (21609 = 1472).

The spelling of 16121448 in words is "sixteen million, one hundred twenty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1103 1218 1624 1827 2088 2206 2436 3309 3654 4412 4872 6618 7308 7721 8824 9927 13236 14616 15442 19854 23163 26472 30884 31987 39708 46326 61768 63974 69489 79416 92652 95961 127948 138978 185304 191922 223909 255896 277956 287883 383844 447818 555912 575766 671727 767688 895636 1151532 1343454 1791272 2015181 2303064 2686908 4030362 5373816 8060724 16121448