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11445120 = 273251987
BaseRepresentation
bin101011101010…
…001110000000
3210112110202100
4223222032000
510412220440
61045150400
7166165461
oct53521600
923473670
1011445120
116507985
1239bb400
1324a957b
14173cd68
151011230
hexaea380

11445120 has 96 divisors (see below), whose sum is σ = 39541320. Its totient is φ = 3050496.

The previous prime is 11445103. The next prime is 11445139. The reversal of 11445120 is 2154411.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 11445093 and 11445102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4767 + ... + 6753.

Almost surely, 211445120 is an apocalyptic number.

11445120 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 11445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19770660).

11445120 is an abundant number, since it is smaller than the sum of its proper divisors (28096200).

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

11445120 is a wasteful number, since it uses less digits than its factorization.

11445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 11445120 is about 3383.0637002575. The cubic root of 11445120 is about 225.3582441172.

Adding to 11445120 its reverse (2154411), we get a palindrome (13599531).

The spelling of 11445120 in words is "eleven million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 1987 2880 3974 5760 5961 7948 9935 11922 15896 17883 19870 23844 29805 31792 35766 39740 47688 59610 63584 71532 79480 89415 95376 119220 127168 143064 158960 178830 190752 238440 254336 286128 317920 357660 381504 476880 572256 635840 715320 763008 953760 1144512 1271680 1430640 1907520 2289024 2861280 3815040 5722560 11445120