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1085004720 = 2435555813
BaseRepresentation
bin100000010101011…
…1101101110110000
32210121121221200000
41000222331232300
54210230122340
6255355230000
735613250032
oct10052755660
92717557600
101085004720
11507503118
12263448300
13143a30537
14a4157c52
15653c2d30
hex40abdbb0

1085004720 has 120 divisors (see below), whose sum is σ = 3778831056. Its totient is φ = 289329408.

The previous prime is 1085004707. The next prime is 1085004751. The reversal of 1085004720 is 274005801.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8467 + ... + 47346.

Almost surely, 21085004720 is an apocalyptic number.

1085004720 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 1085004720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889415528).

1085004720 is an abundant number, since it is smaller than the sum of its proper divisors (2693826336).

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

1085004720 is an equidigital number, since it uses as much as digits as its factorization.

1085004720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55841 (or 55823 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1085004720 is about 32939.4098307787. The cubic root of 1085004720 is about 1027.5679319997.

The spelling of 1085004720 in words is "one billion, eighty-five million, four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 55813 111626 167439 223252 279065 334878 446504 502317 558130 669756 837195 893008 1004634 1116260 1339512 1506951 1674390 2009268 2232520 2511585 2679024 3013902 3348780 4018536 4465040 4520853 5023170 6027804 6697560 7534755 8037072 9041706 10046340 12055608 13395120 13562559 15069510 18083412 20092680 22604265 24111216 27125118 30139020 36166824 40185360 45208530 54250236 60278040 67812795 72333648 90417060 108500472 120556080 135625590 180834120 217000944 271251180 361668240 542502360 1085004720