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1099320040 = 235713614951
BaseRepresentation
bin100000110000110…
…0100101011101000
32211121120020121001
41001201210223220
54222411220130
6301030124344
736146031460
oct10141445350
92747506531
101099320040
115145a0465
122681b06b4
131469a3340
14a6002ba0
156679e6ca
hex41864ae8

1099320040 has 128 divisors (see below), whose sum is σ = 3094801920. Its totient is φ = 342144000.

The previous prime is 1099320017. The next prime is 1099320041. The reversal of 1099320040 is 400239901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1099319990 and 1099320008.

It is not an unprimeable number, because it can be changed into a prime (1099320041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219565 + ... + 224515.

It is an arithmetic number, because the mean of its divisors is an integer number (24178140).

Almost surely, 21099320040 is an apocalyptic number.

1099320040 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 1099320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547400960).

1099320040 is an abundant number, since it is smaller than the sum of its proper divisors (1995481880).

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

1099320040 is a wasteful number, since it uses less digits than its factorization.

1099320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 1099320040 is about 33155.9955362526. The cubic root of 1099320040 is about 1032.0673718611.

Adding to 1099320040 its reverse (400239901), we get a palindrome (1499559941).

The spelling of 1099320040 in words is "one billion, ninety-nine million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 61 65 70 91 104 122 130 140 182 244 260 280 305 364 427 455 488 520 610 728 793 854 910 1220 1586 1708 1820 2135 2440 3172 3416 3640 3965 4270 4951 5551 6344 7930 8540 9902 11102 15860 17080 19804 22204 24755 27755 31720 34657 39608 44408 49510 55510 64363 69314 99020 111020 128726 138628 173285 198040 222040 257452 277256 302011 321815 346570 450541 514904 604022 643630 693140 901082 1208044 1287260 1386280 1510055 1802164 2114077 2252705 2416088 2574520 3020110 3604328 3926143 4228154 4505410 6040220 7852286 8456308 9010820 10570385 12080440 15704572 16912616 18021640 19630715 21140770 27483001 31409144 39261430 42281540 54966002 78522860 84563080 109932004 137415005 157045720 219864008 274830010 549660020 1099320040