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3236207130 = 2325135215309
BaseRepresentation
bin1100000011100100…
…1001101000011010
322100112111100121100
43000321021220122
523111432112010
61253043052230
7143124210132
oct30071115032
98315440540
103236207130
111410833352
12763971076
133c7607b80
14229b31ac2
1513e1a12c0
hexc0e49a1a

3236207130 has 96 divisors (see below), whose sum is σ = 9080482320. Its totient is φ = 794926080.

The previous prime is 3236207119. The next prime is 3236207131. The reversal of 3236207130 is 317026323.

3236207130 is a `hidden beast` number, since 3 + 2 + 3 + 620 + 7 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6671889 + 3229535241 = 2583^2 + 56829^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3236207094 and 3236207103.

It is not an unprimeable number, because it can be changed into a prime (3236207131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 606916 + ... + 612224.

Almost surely, 23236207130 is an apocalyptic number.

3236207130 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 3236207130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540241160).

3236207130 is an abundant number, since it is smaller than the sum of its proper divisors (5844275190).

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

3236207130 is a wasteful number, since it uses less digits than its factorization.

3236207130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3236207130 is about 56887.6711599271. The cubic root of 3236207130 is about 1479.1496103868.

The spelling of 3236207130 in words is "three billion, two hundred thirty-six million, two hundred seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 521 585 1042 1170 1563 2605 3126 4689 5210 5309 6773 7815 9378 10618 13546 15630 15927 20319 23445 26545 31854 33865 40638 46890 47781 53090 60957 67730 69017 79635 95562 101595 121914 138034 159270 203190 207051 238905 304785 345085 414102 477810 609570 621153 690170 1035255 1242306 2070510 2765989 3105765 5531978 6211530 8297967 13829945 16595934 24893901 27659890 35957857 41489835 49787802 71915714 82979670 107873571 124469505 179789285 215747142 248939010 323620713 359578570 539367855 647241426 1078735710 1618103565 3236207130