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121352832 = 2732105341
BaseRepresentation
bin1110011101110…
…11001010000000
322110100100210100
413032323022000
5222031242312
620013002400
73002324226
oct716731200
9273310710
10121352832
11625561a7
1234783400
131c1ab913
141218cb16
15a9c15dc
hex73bb280

121352832 has 48 divisors (see below), whose sum is σ = 349208730. Its totient is φ = 40450560.

The previous prime is 121352827. The next prime is 121352839. The reversal of 121352832 is 238253121.

It can be written as a sum of positive squares in only one way, i.e., 121352256 + 576 = 11016^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 121352796 and 121352805.

It is not an unprimeable number, because it can be changed into a prime (121352839) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 51519 + ... + 53822.

Almost surely, 2121352832 is an apocalyptic number.

121352832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121352832 is an abundant number, since it is smaller than the sum of its proper divisors (227855898).

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

121352832 is a wasteful number, since it uses less digits than its factorization.

121352832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105361 (or 105346 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 121352832 is about 11016.0261437598. The cubic root of 121352832 is about 495.0890320418.

It can be divided in two parts, 1213 and 52832, that added together give a palindrome (54045).

The spelling of 121352832 in words is "one hundred twenty-one million, three hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 105341 210682 316023 421364 632046 842728 948069 1264092 1685456 1896138 2528184 3370912 3792276 5056368 6741824 7584552 10112736 13483648 15169104 20225472 30338208 40450944 60676416 121352832