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1148000 = 2553741
BaseRepresentation
bin100011000010001100000
32011022202112
410120101200
5243214000
640334452
712520640
oct4302140
92138675
101148000
11714567
12474428
133126b9
1421c520
1517a235
hex118460

1148000 has 96 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 384000.

The previous prime is 1147997. The next prime is 1148029. The reversal of 1148000 is 8411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27980 + ... + 28020.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

21148000 is an apocalyptic number.

1148000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1148000 is the 875-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

1148000 is an abundant number, since it is smaller than the sum of its proper divisors (2154208).

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

1148000 is an equidigital number, since it uses as much as digits as its factorization.

1148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1148000 is about 1071.4476188783. The cubic root of 1148000 is about 104.7081844478.

The spelling of 1148000 in words is "one million, one hundred forty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 50 56 70 80 82 100 112 125 140 160 164 175 200 205 224 250 280 287 328 350 400 410 500 560 574 656 700 800 820 875 1000 1025 1120 1148 1312 1400 1435 1640 1750 2000 2050 2296 2800 2870 3280 3500 4000 4100 4592 5125 5600 5740 6560 7000 7175 8200 9184 10250 11480 14000 14350 16400 20500 22960 28000 28700 32800 35875 41000 45920 57400 71750 82000 114800 143500 164000 229600 287000 574000 1148000