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3200725530 = 23653591223
BaseRepresentation
bin1011111011000111…
…0011001000011010
322021001201201000000
42332301303020122
523023341204110
61245334353430
7142213501212
oct27661631032
98231651000
103200725530
1113a27a9512
12753abb876
133c0163b42
14225137242
1513aee31c0
hexbec7321a

3200725530 has 112 divisors (see below), whose sum is σ = 8669151360. Its totient is φ = 850453344.

The previous prime is 3200725481. The next prime is 3200725531. The reversal of 3200725530 is 355270023.

It is a super-3 number, since 3×32007255303 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3200725494 and 3200725503.

It is not an unprimeable number, because it can be changed into a prime (3200725531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2616499 + ... + 2617721.

Almost surely, 23200725530 is an apocalyptic number.

3200725530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200725530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334575680).

3200725530 is an abundant number, since it is smaller than the sum of its proper divisors (5468425830).

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

3200725530 is a wasteful number, since it uses less digits than its factorization.

3200725530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 3200725530 is about 56574.9549712591. The cubic root of 3200725530 is about 1473.7239608475.

Adding to 3200725530 its reverse (355270023), we get a palindrome (3555995553).

The spelling of 3200725530 in words is "three billion, two hundred million, seven hundred twenty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 359 405 486 718 729 810 1077 1215 1223 1458 1795 2154 2430 2446 3231 3590 3645 3669 5385 6115 6462 7290 7338 9693 10770 11007 12230 16155 18345 19386 22014 29079 32310 33021 36690 48465 55035 58158 66042 87237 96930 99063 110070 145395 165105 174474 198126 261711 290790 297189 330210 436185 439057 495315 523422 594378 872370 878114 891567 990630 1308555 1317171 1485945 1783134 2195285 2617110 2634342 2971890 3951513 4390570 4457835 6585855 7903026 8915670 11854539 13171710 19757565 23709078 35563617 39515130 59272695 71127234 106690851 118545390 177818085 213381702 320072553 355636170 533454255 640145106 1066908510 1600362765 3200725530