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1089270864 = 2432112932347
BaseRepresentation
bin100000011101100…
…1111010001010000
32210220122200201100
41000323033101100
54212323131424
6300030504400
735664435543
oct10073172120
92726580640
101089270864
11509957360
12264965100
13144895296
14a494885a
1565966dc9
hex40ecf450

1089270864 has 120 divisors (see below), whose sum is σ = 3338348832. Its totient is φ = 328815360.

The previous prime is 1089270841. The next prime is 1089270913. The reversal of 1089270864 is 4680729801.

It is a super-2 number, since 2×10892708642 = 2373022030318612992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462939 + ... + 465285.

Almost surely, 21089270864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089270864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669174416).

1089270864 is an abundant number, since it is smaller than the sum of its proper divisors (2249077968).

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

1089270864 is a wasteful number, since it uses less digits than its factorization.

1089270864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1089270864 is about 33004.1037448376. The cubic root of 1089270864 is about 1028.9129399041.

It can be divided in two parts, 1089 and 270864, that added together give a triangular number (271953 = T737).

The spelling of 1089270864 in words is "one billion, eighty-nine million, two hundred seventy thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 293 396 528 586 792 879 1172 1584 1758 2344 2347 2637 3223 3516 4688 4694 5274 6446 7032 7041 9388 9669 10548 12892 14064 14082 18776 19338 21096 21123 25784 25817 28164 29007 37552 38676 42192 42246 51568 51634 56328 58014 77352 77451 84492 103268 112656 116028 154704 154902 168984 206536 232056 232353 309804 337968 413072 464112 464706 619608 687671 929412 1239216 1375342 1858824 2063013 2750684 3717648 4126026 5501368 6189039 7564381 8252052 11002736 12378078 15128762 16504104 22693143 24756156 30257524 33008208 45386286 49512312 60515048 68079429 90772572 99024624 121030096 136158858 181545144 272317716 363090288 544635432 1089270864