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1085053120 = 26537113811
BaseRepresentation
bin100000010101100…
…1001100011000000
32210121201102001121
41000223021203000
54210233144440
6255400242024
735613541114
oct10053114300
92717642047
101085053120
11507536518
12263470314
13143a49588
14a416b744
15653d234a
hex40ac98c0

1085053120 has 112 divisors (see below), whose sum is σ = 2680399008. Its totient is φ = 418037760.

The previous prime is 1085053117. The next prime is 1085053133. The reversal of 1085053120 is 213505801.

It is a happy number.

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, 1337515 + ... + 1338325.

It is an arithmetic number, because the mean of its divisors is an integer number (23932134).

Almost surely, 21085053120 is an apocalyptic number.

1085053120 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 1085053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340199504).

1085053120 is an abundant number, since it is smaller than the sum of its proper divisors (1595345888).

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

1085053120 is a wasteful number, since it uses less digits than its factorization.

1085053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 1085053120 is about 32940.1445048439. The cubic root of 1085053120 is about 1027.5832110571.

Adding to 1085053120 its reverse (213505801), we get a palindrome (1298558921).

The spelling of 1085053120 in words is "one billion, eighty-five million, fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 113 148 160 185 226 296 320 370 452 565 592 740 811 904 1130 1184 1480 1622 1808 2260 2368 2960 3244 3616 4055 4181 4520 5920 6488 7232 8110 8362 9040 11840 12976 16220 16724 18080 20905 25952 30007 32440 33448 36160 41810 51904 60014 64880 66896 83620 91643 120028 129760 133792 150035 167240 183286 240056 259520 267584 300070 334480 366572 458215 480112 600140 668960 733144 916430 960224 1200280 1337920 1466288 1832860 1920448 2400560 2932576 3390791 3665720 4801120 5865152 6781582 7331440 9602240 13563164 14662880 16953955 27126328 29325760 33907910 54252656 67815820 108505312 135631640 217010624 271263280 542526560 1085053120