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1089749040 = 243529315497
BaseRepresentation
bin100000011110100…
…0100000000110000
32210221112222122120
41000331010000300
54212433432130
6300045034240
736001466622
oct10075040060
92727488576
101089749040
1150a153646
12264b55980
13144a01b23
14a4a30c12
1565a0d910
hex40f44030

1089749040 has 80 divisors (see below), whose sum is σ = 3389970528. Its totient is φ = 289589248.

The previous prime is 1089749033. The next prime is 1089749069. The reversal of 1089749040 is 409479801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1089748983 and 1089749001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62572 + ... + 78068.

Almost surely, 21089749040 is an apocalyptic number.

1089749040 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 1089749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694985264).

1089749040 is an abundant number, since it is smaller than the sum of its proper divisors (2300221488).

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

1089749040 is a wasteful number, since it uses less digits than its factorization.

1089749040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15806 (or 15800 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1089749040 is about 33011.3471400366. The cubic root of 1089749040 is about 1029.0634777588.

The spelling of 1089749040 in words is "one billion, eighty-nine million, seven hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 293 586 879 1172 1465 1758 2344 2930 3516 4395 4688 5860 7032 8790 11720 14064 15497 17580 23440 30994 35160 46491 61988 70320 77485 92982 123976 154970 185964 232455 247952 309940 371928 464910 619880 743856 929820 1239760 1859640 3719280 4540621 9081242 13621863 18162484 22703105 27243726 36324968 45406210 54487452 68109315 72649936 90812420 108974904 136218630 181624840 217949808 272437260 363249680 544874520 1089749040