Search a number
-
+
12454272 = 273219569
BaseRepresentation
bin101111100000…
…100110000000
3212102202001100
4233200212000
511142014042
61122534400
7210600555
oct57404600
925382040
1012454272
117037096
124207400
1327709bc
141922a2c
15116024c
hexbe0980

12454272 has 96 divisors (see below), whose sum is σ = 37791000. Its totient is φ = 3926016.

The previous prime is 12454249. The next prime is 12454279. The reversal of 12454272 is 27245421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12454279) 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, 21604 + ... + 22172.

Almost surely, 212454272 is an apocalyptic number.

12454272 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 12454272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18895500).

12454272 is an abundant number, since it is smaller than the sum of its proper divisors (25336728).

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

12454272 is a wasteful number, since it uses less digits than its factorization.

12454272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 593 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 12454272 is about 3529.0610649293. The cubic root of 12454272 is about 231.7960951171.

Adding to 12454272 its reverse (27245421), we get a palindrome (39699693).

The spelling of 12454272 in words is "twelve million, four hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 569 576 608 684 912 1138 1152 1216 1368 1707 1824 2276 2432 2736 3414 3648 4552 5121 5472 6828 7296 9104 10242 10811 10944 13656 18208 20484 21622 21888 27312 32433 36416 40968 43244 54624 64866 72832 81936 86488 97299 109248 129732 163872 172976 194598 218496 259464 327744 345952 389196 518928 655488 691904 778392 1037856 1383808 1556784 2075712 3113568 4151424 6227136 12454272