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1052480 = 265111323
BaseRepresentation
bin100000000111101000000
31222110201202
410000331000
5232134410
634320332
711642312
oct4007500
91873652
101052480
11659820
124290a8
132ab090
141d57b2
1515bca5
hex100f40

1052480 has 112 divisors (see below), whose sum is σ = 3072384. Its totient is φ = 337920.

The previous prime is 1052479. The next prime is 1052489. The reversal of 1052480 is 842501.

It is a super-2 number, since 2×10524802 = 2215428300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45749 + ... + 45771.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

21052480 is an apocalyptic number.

1052480 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 1052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192).

1052480 is an abundant number, since it is smaller than the sum of its proper divisors (2019904).

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

1052480 is a wasteful number, since it uses less digits than its factorization.

1052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1052480 is about 1025.9044789843. The cubic root of 1052480 is about 101.7195938098.

Adding to 1052480 its reverse (842501), we get a palindrome (1894981).

It can be divided in two parts, 10 and 52480, that multiplied together give a triangular number (524800 = T1024).

The spelling of 1052480 in words is "one million, fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 23 26 32 40 44 46 52 55 64 65 80 88 92 104 110 115 130 143 160 176 184 208 220 230 253 260 286 299 320 352 368 416 440 460 506 520 572 598 704 715 736 832 880 920 1012 1040 1144 1196 1265 1430 1472 1495 1760 1840 2024 2080 2288 2392 2530 2860 2990 3289 3520 3680 4048 4160 4576 4784 5060 5720 5980 6578 7360 8096 9152 9568 10120 11440 11960 13156 16192 16445 19136 20240 22880 23920 26312 32890 40480 45760 47840 52624 65780 80960 95680 105248 131560 210496 263120 526240 1052480