Search a number
-
+
1089335040 = 2835319151
BaseRepresentation
bin100000011101101…
…1110111100000000
32210220202221202020
41000323132330000
54212332210130
6300032121440
735665123623
oct10073367400
92726687666
101089335040
115099a05a2
12264996280
131448b8561
14a4963dba
156597ae10
hex40edef00

1089335040 has 144 divisors (see below), whose sum is σ = 3591684096. Its totient is φ = 281088000.

The previous prime is 1089335003. The next prime is 1089335041. The reversal of 1089335040 is 405339801.

It is a junction number, because it is equal to n+sod(n) for n = 1089334992 and 1089335010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089335041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114465 + ... + 123615.

Almost surely, 21089335040 is an apocalyptic number.

1089335040 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 1089335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795842048).

1089335040 is an abundant number, since it is smaller than the sum of its proper divisors (2502349056).

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

1089335040 is an equidigital number, since it uses as much as digits as its factorization.

1089335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9206 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1089335040 is about 33005.0759732499. The cubic root of 1089335040 is about 1028.9331461485.

The spelling of 1089335040 in words is "one billion, eighty-nine million, three hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4960 5952 7440 7936 9151 9920 11904 14880 18302 19840 23808 27453 29760 36604 39680 45755 54906 59520 73208 91510 109812 119040 137265 146416 183020 219624 274530 283681 292832 366040 439248 549060 567362 585664 732080 851043 878496 1098120 1134724 1171328 1418405 1464160 1702086 1756992 2196240 2269448 2342656 2836810 2928320 3404172 3513984 4255215 4392480 4538896 5673620 5856640 6808344 7027968 8510430 8784960 9077792 11347240 11713280 13616688 17020860 17569920 18155584 22694480 27233376 34041720 35139840 36311168 45388960 54466752 68083440 72622336 90777920 108933504 136166880 181555840 217867008 272333760 363111680 544667520 1089335040