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120480144 = 2438330241
BaseRepresentation
bin1110010111001…
…10000110010000
322101201000200120
413023212012100
5221320331034
615542150240
72662031031
oct713460620
9271630616
10120480144
116200a574
1234422380
131bc64635
1412002a88
15a89cc49
hex72e6190

120480144 has 40 divisors (see below), whose sum is σ = 315000672. Its totient is φ = 39674880.

The previous prime is 120480133. The next prime is 120480161. The reversal of 120480144 is 441084021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11137 + ... + 19104.

Almost surely, 2120480144 is an apocalyptic number.

It is an amenable number.

120480144 is an abundant number, since it is smaller than the sum of its proper divisors (194520528).

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

120480144 is a wasteful number, since it uses less digits than its factorization.

120480144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30335 (or 30329 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 120480144 is about 10976.3447467725. The cubic root of 120480144 is about 493.8993932598.

The spelling of 120480144 in words is "one hundred twenty million, four hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 30241 60482 90723 120964 181446 241928 362892 483856 725784 1451568 2510003 5020006 7530009 10040012 15060018 20080024 30120036 40160048 60240072 120480144