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120401568 = 2532759723
BaseRepresentation
bin1110010110100…
…10111010100000
322101120000220100
413023102322200
5221310322233
615540342400
72661252660
oct713227240
9271500810
10120401568
1161a66531
12343a4a00
131bc37941
1411dc21a0
15a884813
hex72d2ea0

120401568 has 72 divisors (see below), whose sum is σ = 391311648. Its totient is φ = 34399872.

The previous prime is 120401557. The next prime is 120401569. The reversal of 120401568 is 865104021.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (120401569) 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 11 ways as a sum of consecutive naturals, for example, 27846 + ... + 31877.

It is an arithmetic number, because the mean of its divisors is an integer number (5434884).

Almost surely, 2120401568 is an apocalyptic number.

120401568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120401568 is an abundant number, since it is smaller than the sum of its proper divisors (270910080).

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

120401568 is a wasteful number, since it uses less digits than its factorization.

120401568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59746 (or 59735 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120401568 is about 10972.7648293400. The cubic root of 120401568 is about 493.7919977522.

Adding to 120401568 its reverse (865104021), we get a palindrome (985505589).

The spelling of 120401568 in words is "one hundred twenty million, four hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 59723 119446 179169 238892 358338 418061 477784 537507 716676 836122 955568 1075014 1254183 1433352 1672244 1911136 2150028 2508366 2866704 3344488 3762549 4300056 5016732 5733408 6688976 7525098 8600112 10033464 13377952 15050196 17200224 20066928 30100392 40133856 60200784 120401568