Search a number
-
+
121404432 = 2433183983
BaseRepresentation
bin1110011110001…
…11110000010000
322110102222120110
413033013300100
5222034420212
620014041320
73002630532
oct717076020
9273388513
10121404432
1162590a46
12347a9240
131c1c9256
14121a3852
15a9d1a3c
hex73c7c10

121404432 has 80 divisors (see below), whose sum is σ = 327979008. Its totient is φ = 38651520.

The previous prime is 121404383. The next prime is 121404449. The reversal of 121404432 is 234404121.

It is a super-2 number, since 2×1214044322 = 29478072218485248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121404399 and 121404408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123013 + ... + 123995.

Almost surely, 2121404432 is an apocalyptic number.

121404432 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 121404432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163989504).

121404432 is an abundant number, since it is smaller than the sum of its proper divisors (206574576).

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

121404432 is a wasteful number, since it uses less digits than its factorization.

121404432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 121404432 is about 11018.3679372219. The cubic root of 121404432 is about 495.1591937722.

Adding to 121404432 its reverse (234404121), we get a palindrome (355808553).

The spelling of 121404432 in words is "one hundred twenty-one million, four hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 124 166 186 248 249 332 372 496 498 664 744 983 996 1328 1488 1966 1992 2573 2949 3932 3984 5146 5898 7719 7864 10292 11796 15438 15728 20584 23592 30473 30876 41168 47184 60946 61752 81589 91419 121892 123504 163178 182838 243784 244767 326356 365676 487568 489534 652712 731352 979068 1305424 1462704 1958136 2529259 3916272 5058518 7587777 10117036 15175554 20234072 30351108 40468144 60702216 121404432