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1289120 = 25571151
BaseRepresentation
bin100111010101110100000
32102111100012
410322232200
5312222440
643344052
713646240
oct4725640
92374305
101289120
11800598
12522028
133619c1
14257b20
151a6e65
hex13aba0

1289120 has 48 divisors (see below), whose sum is σ = 3483648. Its totient is φ = 441600.

The previous prime is 1289111. The next prime is 1289129. The reversal of 1289120 is 219821.

It is an interprime number because it is at equal distance from previous prime (1289111) and next prime (1289129).

It is not an unprimeable number, because it can be changed into a prime (1289129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545 + ... + 1695.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

21289120 is an apocalyptic number.

1289120 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 1289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824).

1289120 is an abundant number, since it is smaller than the sum of its proper divisors (2194528).

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

1289120 is a wasteful number, since it uses less digits than its factorization.

1289120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1289120 is about 1135.3942046708. The cubic root of 1289120 is about 108.8339643097.

The spelling of 1289120 in words is "one million, two hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1151 2302 4604 5755 8057 9208 11510 16114 18416 23020 32228 36832 40285 46040 64456 80570 92080 128912 161140 184160 257824 322280 644560 1289120