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1052640 = 253251743
BaseRepresentation
bin100000000111111100000
31222110221200
410000333200
5232141030
634321200
711642631
oct4007740
91873850
101052640
11659956
12429200
132ab184
141d5888
1515bd60
hex100fe0

1052640 has 144 divisors (see below), whose sum is σ = 3891888. Its totient is φ = 258048.

The previous prime is 1052629. The next prime is 1052663. The reversal of 1052640 is 462501.

1052640 = T25 + T26 + ... + T184.

It is a happy number.

1052640 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10526402 = 2216101939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24459 + ... + 24501.

It is an arithmetic number, because the mean of its divisors is an integer number (27027).

21052640 is an apocalyptic number.

1052640 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 1052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945944).

1052640 is an abundant number, since it is smaller than the sum of its proper divisors (2839248).

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

1052640 is a wasteful number, since it uses less digits than its factorization.

1052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1052640 is about 1025.9824559904. The cubic root of 1052640 is about 101.7247480837.

It can be divided in two parts, 10 and 52640, that added together give a triangular number (52650 = T324).

The spelling of 1052640 in words is "one million, fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 43 45 48 51 60 68 72 80 85 86 90 96 102 120 129 136 144 153 160 170 172 180 204 215 240 255 258 272 288 306 340 344 360 387 408 430 480 510 516 544 612 645 680 688 720 731 765 774 816 860 1020 1032 1224 1290 1360 1376 1440 1462 1530 1548 1632 1720 1935 2040 2064 2193 2448 2580 2720 2924 3060 3096 3440 3655 3870 4080 4128 4386 4896 5160 5848 6120 6192 6579 6880 7310 7740 8160 8772 10320 10965 11696 12240 12384 13158 14620 15480 17544 20640 21930 23392 24480 26316 29240 30960 32895 35088 43860 52632 58480 61920 65790 70176 87720 105264 116960 131580 175440 210528 263160 350880 526320 1052640