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1089874688 = 2872331853
BaseRepresentation
bin100000011110110…
…0010101100000000
32210221210101000012
41000331202230000
54213001442223
6300051444052
736002532140
oct10075425400
92727711005
101089874688
1150a229a91
12264bb6628
13144a47086
14a4a64920
1565a35c78
hex40f62b00

1089874688 has 144 divisors (see below), whose sum is σ = 2681204736. Its totient is φ = 431861760.

The previous prime is 1089874679. The next prime is 1089874691. The reversal of 1089874688 is 8864789801.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1277270 + ... + 1278122.

Almost surely, 21089874688 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 1089874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340602368).

1089874688 is an abundant number, since it is smaller than the sum of its proper divisors (1591330048).

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

1089874688 is an equidigital number, since it uses as much as digits as its factorization.

1089874688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 59.

The square root of 1089874688 is about 33013.2501883713. The cubic root of 1089874688 is about 1029.1030265583.

The spelling of 1089874688 in words is "one billion, eighty-nine million, eight hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 128 161 184 217 224 248 256 322 368 434 448 496 644 713 736 853 868 896 992 1288 1426 1472 1706 1736 1792 1984 2576 2852 2944 3412 3472 3968 4991 5152 5704 5888 5971 6824 6944 7936 9982 10304 11408 11942 13648 13888 19619 19964 20608 22816 23884 26443 27296 27776 39238 39928 41216 45632 47768 52886 54592 55552 78476 79856 91264 95536 105772 109184 137333 156952 159712 182528 185101 191072 211544 218368 274666 313904 319424 370202 382144 423088 549332 608189 627808 638848 740404 764288 846176 1098664 1216378 1255616 1277696 1480808 1528576 1692352 2197328 2432756 2511232 2961616 3384704 4257323 4394656 4865512 5022464 5923232 6769408 8514646 8789312 9731024 11846464 17029292 17578624 19462048 23692928 34058584 35157248 38924096 47385856 68117168 77848192 136234336 155696384 272468672 544937344 1089874688