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1085620240 = 245231673533
BaseRepresentation
bin100000010110101…
…0100000000010000
32210122210020000001
41000231110000100
54210404321430
6255420335344
735621422405
oct10055240020
92718706001
101085620240
11507893611
122636a4554
13143bb7753
14a42782ac
15654953ca
hex40b54010

1085620240 has 80 divisors (see below), whose sum is σ = 2650330368. Its totient is φ = 412763648.

The previous prime is 1085620231. The next prime is 1085620243. The reversal of 1085620240 is 420265801.

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 = 1085620199 and 1085620208.

It is not an unprimeable number, because it can be changed into a prime (1085620243) 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, 305514 + ... + 309046.

Almost surely, 21085620240 is an apocalyptic number.

1085620240 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 1085620240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325165184).

1085620240 is an abundant number, since it is smaller than the sum of its proper divisors (1564710128).

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

1085620240 is a wasteful number, since it uses less digits than its factorization.

1085620240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 1085620240 is about 32948.7517214234. The cubic root of 1085620240 is about 1027.7622073598.

The spelling of 1085620240 in words is "one billion, eighty-five million, six hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 167 184 230 334 368 460 668 835 920 1336 1670 1840 2672 3340 3533 3841 6680 7066 7682 13360 14132 15364 17665 19205 28264 30728 35330 38410 56528 61456 70660 76820 81259 141320 153640 162518 282640 307280 325036 406295 590011 650072 812590 1180022 1300144 1625180 2360044 2950055 3250360 4720088 5900110 6500720 9440176 11800220 13570253 23600440 27140506 47200880 54281012 67851265 108562024 135702530 217124048 271405060 542810120 1085620240