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120145840 = 2452951787
BaseRepresentation
bin1110010100101…
…00011110110000
322101002001002221
413022110132300
5221224131330
615531050424
72656136263
oct712243660
9271061087
10120145840
1161901391
12342a0a14
131bb78419
1411d56cda
15a833b7a
hex72947b0

120145840 has 40 divisors (see below), whose sum is σ = 288977040. Its totient is φ = 46400256.

The previous prime is 120145829. The next prime is 120145841. The reversal of 120145840 is 48541021.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (120145841) 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 7 ways as a sum of consecutive naturals, for example, 23574 + ... + 28213.

It is an arithmetic number, because the mean of its divisors is an integer number (7224426).

Almost surely, 2120145840 is an apocalyptic number.

120145840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120145840 is an abundant number, since it is smaller than the sum of its proper divisors (168831200).

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

120145840 is a wasteful number, since it uses less digits than its factorization.

120145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51829 (or 51823 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 120145840 is about 10961.1057836333. The cubic root of 120145840 is about 493.4421519550.

Adding to 120145840 its reverse (48541021), we get a palindrome (168686861).

The spelling of 120145840 in words is "one hundred twenty million, one hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 51787 103574 207148 258935 414296 517870 828592 1035740 1501823 2071480 3003646 4142960 6007292 7509115 12014584 15018230 24029168 30036460 60072920 120145840