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1022868 = 223471141
BaseRepresentation
bin11111001101110010100
31220222010000
43321232110
5230212433
633531300
711460060
oct3715624
91828100
101022868
11639550
12413b30
1329a762
141c8aa0
15153113
hexf9b94

1022868 has 120 divisors (see below), whose sum is σ = 3415104. Its totient is φ = 259200.

The previous prime is 1022849. The next prime is 1022869. The reversal of 1022868 is 8682201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022869) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24928 + ... + 24968.

21022868 is an apocalyptic number.

1022868 is a gapful number since it is divisible by the number (18) 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 1022868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707552).

1022868 is an abundant number, since it is smaller than the sum of its proper divisors (2392236).

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

1022868 is a wasteful number, since it uses less digits than its factorization.

1022868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1022868 is about 1011.3693687274. The cubic root of 1022868 is about 100.7565288743.

It can be divided in two parts, 10228 and 68, that added together give a triangular number (10296 = T143).

The spelling of 1022868 in words is "one million, twenty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 41 42 44 54 63 66 77 81 82 84 99 108 123 126 132 154 162 164 189 198 231 246 252 287 297 308 324 369 378 396 451 462 492 567 574 594 693 738 756 861 891 902 924 1107 1134 1148 1188 1353 1386 1476 1722 1782 1804 2079 2214 2268 2583 2706 2772 3157 3321 3444 3564 4059 4158 4428 5166 5412 6237 6314 6642 7749 8118 8316 9471 10332 12177 12474 12628 13284 15498 16236 18942 23247 24354 24948 28413 30996 36531 37884 46494 48708 56826 73062 85239 92988 113652 146124 170478 255717 340956 511434 1022868