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11900520 = 233453673
BaseRepresentation
bin101101011001…
…011001101000
3211101121110000
4231121121220
511021304040
61103023000
7203103252
oct55313150
924347400
1011900520
116799045
123b9aa60
132608938
14181acd2
1510a1130
hexb59668

11900520 has 80 divisors (see below), whose sum is σ = 40009860. Its totient is φ = 3172608.

The previous prime is 11900519. The next prime is 11900521. The reversal of 11900520 is 2500911.

11900520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11900519) and next prime (11900521).

It can be written as a sum of positive squares in 2 ways, for example, as 10614564 + 1285956 = 3258^2 + 1134^2 .

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 = 11900493 and 11900502.

It is not an unprimeable number, because it can be changed into a prime (11900521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1404 + ... + 5076.

Almost surely, 211900520 is an apocalyptic number.

11900520 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 11900520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20004930).

11900520 is an abundant number, since it is smaller than the sum of its proper divisors (28109340).

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

11900520 is a wasteful number, since it uses less digits than its factorization.

11900520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11900520 is about 3449.7130315433. The cubic root of 11900520 is about 228.3084467996.

It can be divided in two parts, 119005 and 20, that added together give a square (119025 = 3452).

The spelling of 11900520 in words is "eleven million, nine hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 3673 7346 11019 14692 18365 22038 29384 33057 36730 44076 55095 66114 73460 88152 99171 110190 132228 146920 165285 198342 220380 264456 297513 330570 396684 440760 495855 595026 661140 793368 991710 1190052 1322280 1487565 1983420 2380104 2975130 3966840 5950260 11900520