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1052160 = 2935137
BaseRepresentation
bin100000000111000000000
31222110021220
410000320000
5232132120
634315040
711641344
oct4007000
91873256
101052160
1165955a
12428a80
132aaba5
141d5624
1515bb40
hex100e00

1052160 has 80 divisors (see below), whose sum is σ = 3388176. Its totient is φ = 278528.

The previous prime is 1052141. The next prime is 1052179. The reversal of 1052160 is 612501.

It is an interprime number because it is at equal distance from previous prime (1052141) and next prime (1052179).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10521602 = 2214081331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 7612 + ... + 7748.

21052160 is an apocalyptic number.

1052160 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 1052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694088).

1052160 is an abundant number, since it is smaller than the sum of its proper divisors (2336016).

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

1052160 is an equidigital number, since it uses as much as digits as its factorization.

1052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1052160 is about 1025.7485071888. The cubic root of 1052160 is about 101.7092836948.

Adding to 1052160 its reverse (612501), we get a palindrome (1664661).

The spelling of 1052160 in words is "one million, fifty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 137 160 192 240 256 274 320 384 411 480 512 548 640 685 768 822 960 1096 1280 1370 1536 1644 1920 2055 2192 2560 2740 3288 3840 4110 4384 5480 6576 7680 8220 8768 10960 13152 16440 17536 21920 26304 32880 35072 43840 52608 65760 70144 87680 105216 131520 175360 210432 263040 350720 526080 1052160