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1148480 = 2653797
BaseRepresentation
bin100011000011001000000
32011100102022
410120121000
5243222410
640341012
712522224
oct4303100
92140368
101148480
11714963
12474768
13312998
1421c784
1517a455
hex118640

1148480 has 56 divisors (see below), whose sum is σ = 2837688. Its totient is φ = 442368.

The previous prime is 1148453. The next prime is 1148489. The reversal of 1148480 is 848411.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 861184 = 536^2 + 928^2 .

It is not an unprimeable number, because it can be changed into a prime (1148489) 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, 11792 + ... + 11888.

It is an arithmetic number, because the mean of its divisors is an integer number (50673).

21148480 is an apocalyptic number.

1148480 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 1148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418844).

1148480 is an abundant number, since it is smaller than the sum of its proper divisors (1689208).

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

1148480 is an equidigital number, since it uses as much as digits as its factorization.

1148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 1148480 is about 1071.6715914869. The cubic root of 1148480 is about 104.7227758895.

The spelling of 1148480 in words is "one million, one hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 97 148 160 185 194 296 320 370 388 485 592 740 776 970 1184 1480 1552 1940 2368 2960 3104 3589 3880 5920 6208 7178 7760 11840 14356 15520 17945 28712 31040 35890 57424 71780 114848 143560 229696 287120 574240 1148480