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200135520 = 253251310691
BaseRepresentation
bin10111110110111…
…01001101100000
3111221120221022200
423323131031200
5402213314040
631505333200
74650060324
oct1373351540
9457527280
10200135520
11a2a75862
1257037200
1332603bb0
141c819984
1512884630
hexbedd360

200135520 has 144 divisors (see below), whose sum is σ = 735566832. Its totient is φ = 49259520.

The previous prime is 200135513. The next prime is 200135527. The reversal of 200135520 is 25531002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200135513) and next prime (200135527).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 200135493 and 200135502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200135527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13375 + ... + 24065.

It is an arithmetic number, because the mean of its divisors is an integer number (5108103).

Almost surely, 2200135520 is an apocalyptic number.

200135520 is a gapful number since it is divisible by the number (20) 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 200135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367783416).

200135520 is an abundant number, since it is smaller than the sum of its proper divisors (535431312).

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

200135520 is a wasteful number, since it uses less digits than its factorization.

200135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10725 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 200135520 is about 14146.9261678995. The cubic root of 200135520 is about 584.9356054476.

Adding to 200135520 its reverse (25531002), we get a palindrome (225666522).

The spelling of 200135520 in words is "two hundred million, one hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 10691 18720 21382 32073 42764 53455 64146 85528 96219 106910 128292 138983 160365 171056 192438 213820 256584 277966 320730 342112 384876 416949 427640 481095 513168 555932 641460 694915 769752 833898 855280 962190 1026336 1111864 1250847 1282920 1389830 1539504 1667796 1710560 1924380 2084745 2223728 2501694 2565840 2779660 3079008 3335592 3848760 4169490 4447456 5003388 5131680 5559320 6254235 6671184 7697520 8338980 10006776 11118640 12508470 13342368 15395040 16677960 20013552 22237280 25016940 33355920 40027104 50033880 66711840 100067760 200135520