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1026480 = 243571347
BaseRepresentation
bin11111010100110110000
31221011001210
43322212300
5230321410
634000120
711503440
oct3724660
91834053
101026480
11641234
12416040
1329c2b0
141ca120
15154220
hexfa9b0

1026480 has 160 divisors (see below), whose sum is σ = 3999744. Its totient is φ = 211968.

The previous prime is 1026479. The next prime is 1026481. The reversal of 1026480 is 846201.

It is an interprime number because it is at equal distance from previous prime (1026479) and next prime (1026481).

It is a super-2 number, since 2×10264802 = 2107322380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1026481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21817 + ... + 21863.

21026480 is an apocalyptic number.

1026480 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 1026480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999872).

1026480 is an abundant number, since it is smaller than the sum of its proper divisors (2973264).

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

1026480 is a wasteful number, since it uses less digits than its factorization.

1026480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1026480 is about 1013.1534928134. The cubic root of 1026480 is about 100.8749882917.

The spelling of 1026480 in words is "one million, twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 47 48 52 56 60 65 70 78 80 84 91 94 104 105 112 120 130 140 141 156 168 182 188 195 208 210 235 240 260 273 280 282 312 329 336 364 376 390 420 455 470 520 546 560 564 611 624 658 705 728 752 780 840 910 940 987 1040 1092 1128 1222 1316 1365 1410 1456 1560 1645 1680 1820 1833 1880 1974 2184 2256 2444 2632 2730 2820 3055 3120 3290 3640 3666 3760 3948 4277 4368 4888 4935 5264 5460 5640 6110 6580 7280 7332 7896 8554 9165 9776 9870 10920 11280 12220 12831 13160 14664 15792 17108 18330 19740 21385 21840 24440 25662 26320 29328 34216 36660 39480 42770 48880 51324 64155 68432 73320 78960 85540 102648 128310 146640 171080 205296 256620 342160 513240 1026480