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1302080 = 26513313
BaseRepresentation
bin100111101111001000000
32110011010012
410331321000
5313131310
643524052
714032103
oct4757100
92404105
101302080
1180a2aa
12529628
13367880
1425c73a
151aac05
hex13de40

1302080 has 56 divisors (see below), whose sum is σ = 3349752. Its totient is φ = 479232.

The previous prime is 1302079. The next prime is 1302107. The reversal of 1302080 is 802031.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 1236544 = 256^2 + 1112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4004 + ... + 4316.

It is an arithmetic number, because the mean of its divisors is an integer number (59817).

21302080 is an apocalyptic number.

1302080 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 1302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674876).

1302080 is an abundant number, since it is smaller than the sum of its proper divisors (2047672).

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

1302080 is a wasteful number, since it uses less digits than its factorization.

1302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1302080 is about 1141.0872008747. The cubic root of 1302080 is about 109.1974649100.

It can be divided in two parts, 130 and 2080, that multiplied together give a square (270400 = 5202).

The spelling of 1302080 in words is "one million, three hundred two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 313 320 416 520 626 832 1040 1252 1565 2080 2504 3130 4069 4160 5008 6260 8138 10016 12520 16276 20032 20345 25040 32552 40690 50080 65104 81380 100160 130208 162760 260416 325520 651040 1302080