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120871540 = 225191791777
BaseRepresentation
bin1110011010001…
…01101001110100
322102102220120201
413031011221310
5221420342130
615554410244
72665251106
oct715055164
9272386521
10120871540
1162257639
1234590984
131c07082a
14120a5576
15a928bca
hex7345a74

120871540 has 48 divisors (see below), whose sum is σ = 268833600. Its totient is φ = 45522432.

The previous prime is 120871537. The next prime is 120871549. The reversal of 120871540 is 45178021.

It is a junction number, because it is equal to n+sod(n) for n = 120871499 and 120871508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120871549) 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, 67132 + ... + 68908.

It is an arithmetic number, because the mean of its divisors is an integer number (5600700).

Almost surely, 2120871540 is an apocalyptic number.

120871540 is a gapful number since it is divisible by the number (10) 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 120871540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134416800).

120871540 is an abundant number, since it is smaller than the sum of its proper divisors (147962060).

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

120871540 is a wasteful number, since it uses less digits than its factorization.

120871540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 120871540 is about 10994.1593584958. The cubic root of 120871540 is about 494.4336480784.

The spelling of 120871540 in words is "one hundred twenty million, eight hundred seventy-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 179 190 358 380 716 895 1777 1790 3401 3554 3580 6802 7108 8885 13604 17005 17770 33763 34010 35540 67526 68020 135052 168815 318083 337630 636166 675260 1272332 1590415 3180830 6043577 6361660 12087154 24174308 30217885 60435770 120871540