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11040503400 = 2332528968917
BaseRepresentation
bin10100100100001000…
…01011011001101000
31001111102122200110100
422102010023121220
5140102332102100
65023312145400
7540410505363
oct122204133150
931442580410
1011040503400
114756092683
122181538260
13106c439364
1476a4150da
154493e0400
hex29210b668

11040503400 has 144 divisors (see below), whose sum is σ = 37494837900. Its totient is φ = 2911011840.

The previous prime is 11040503381. The next prime is 11040503417. The reversal of 11040503400 is 430504011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1672973604 + 9367529796 = 40902^2 + 96786^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125742 + ... + 194658.

Almost surely, 211040503400 is an apocalyptic number.

11040503400 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 11040503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18747418950).

11040503400 is an abundant number, since it is smaller than the sum of its proper divisors (26454334500).

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

11040503400 is a wasteful number, since it uses less digits than its factorization.

11040503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69028 (or 69016 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 11040503400 in words is "eleven billion, forty million, five hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 89 90 100 120 150 178 180 200 225 267 300 356 360 445 450 534 600 712 801 890 900 1068 1335 1602 1780 1800 2136 2225 2670 3204 3560 4005 4450 5340 6408 6675 8010 8900 10680 13350 16020 17800 20025 26700 32040 40050 53400 68917 80100 137834 160200 206751 275668 344585 413502 551336 620253 689170 827004 1033755 1240506 1378340 1654008 1722925 2067510 2481012 2756680 3101265 3445850 4135020 4962024 5168775 6133613 6202530 6891700 8270040 10337550 12267226 12405060 13783400 15506325 18400839 20675100 24534452 24810120 30668065 31012650 36801678 41350200 49068904 55202517 61336130 62025300 73603356 92004195 110405034 122672260 124050600 147206712 153340325 184008390 220810068 245344520 276012585 306680650 368016780 441620136 460020975 552025170 613361300 736033560 920041950 1104050340 1226722600 1380062925 1840083900 2208100680 2760125850 3680167800 5520251700 11040503400