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120441072 = 24347197271
BaseRepresentation
bin1110010110111…
…00100011110000
322101122001002110
413023130203300
5221313103242
615541245320
72661506103
oct713344360
9271561073
10120441072
1161a93184
1234403840
131bc4c90b
1411dd273a
15a89139c
hex72dc8f0

120441072 has 80 divisors (see below), whose sum is σ = 320550912. Its totient is φ = 38949120.

The previous prime is 120441059. The next prime is 120441077. The reversal of 120441072 is 270144021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120441077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444297 + ... + 444567.

Almost surely, 2120441072 is an apocalyptic number.

120441072 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 120441072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160275456).

120441072 is an abundant number, since it is smaller than the sum of its proper divisors (200109840).

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

120441072 is a wasteful number, since it uses less digits than its factorization.

120441072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 120441072 is about 10974.5647749694. The cubic root of 120441072 is about 493.8459965674.

Adding to 120441072 its reverse (270144021), we get a palindrome (390585093).

The spelling of 120441072 in words is "one hundred twenty million, four hundred forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 197 271 282 376 394 542 564 591 752 788 813 1084 1128 1182 1576 1626 2168 2256 2364 3152 3252 4336 4728 6504 9259 9456 12737 13008 18518 25474 27777 37036 38211 50948 53387 55554 74072 76422 101896 106774 111108 148144 152844 160161 203792 213548 222216 305688 320322 427096 444432 611376 640644 854192 1281288 2509189 2562576 5018378 7527567 10036756 15055134 20073512 30110268 40147024 60220536 120441072