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1298120 = 235172383
BaseRepresentation
bin100111100111011001000
32102221200112
410330323020
5313014440
643453452
714014415
oct4747310
92387615
101298120
1180732a
12527288
13365b25
1425b10c
151a9965
hex13cec8

1298120 has 64 divisors (see below), whose sum is σ = 3265920. Its totient is φ = 461824.

The previous prime is 1298119. The next prime is 1298131. The reversal of 1298120 is 218921.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15599 + ... + 15681.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

21298120 is an apocalyptic number.

1298120 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 1298120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632960).

1298120 is an abundant number, since it is smaller than the sum of its proper divisors (1967800).

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

1298120 is a wasteful number, since it uses less digits than its factorization.

1298120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

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

The square root of 1298120 is about 1139.3506922805. The cubic root of 1298120 is about 109.0866521908.

The spelling of 1298120 in words is "one million, two hundred ninety-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 83 85 92 115 136 166 170 184 230 332 340 391 415 460 664 680 782 830 920 1411 1564 1660 1909 1955 2822 3128 3320 3818 3910 5644 7055 7636 7820 9545 11288 14110 15272 15640 19090 28220 32453 38180 56440 64906 76360 129812 162265 259624 324530 649060 1298120