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7323130152 = 23321352115017
BaseRepresentation
bin1101101000111111…
…00001100100101000
3200220100202120000200
412310133201210220
5104444210131102
63210400032200
7346321402452
oct66437414450
920810676020
107323130152
113118797088
121504602660
138c9241b10
144d68312d2
152ccd9651c
hex1b47e1928

7323130152 has 96 divisors (see below), whose sum is σ = 21401551080. Its totient is φ = 2248796160.

The previous prime is 7323130147. The next prime is 7323130159. The reversal of 7323130152 is 2510313237.

It can be written as a sum of positive squares in 4 ways, for example, as 3700775556 + 3622354596 = 60834^2 + 60186^2 .

It is not an unprimeable number, because it can be changed into a prime (7323130159) 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, 480148 + ... + 495164.

Almost surely, 27323130152 is an apocalyptic number.

7323130152 is a gapful number since it is divisible by the number (72) 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 7323130152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10700775540).

7323130152 is an abundant number, since it is smaller than the sum of its proper divisors (14078420928).

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

7323130152 is a wasteful number, since it uses less digits than its factorization.

7323130152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15563 (or 15556 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 7323130152 is about 85575.2893772496. The cubic root of 7323130152 is about 1941.9240973501.

Adding to 7323130152 its reverse (2510313237), we get a palindrome (9833443389).

The spelling of 7323130152 in words is "seven billion, three hundred twenty-three million, one hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 521 936 1042 1563 2084 3126 4168 4689 6252 6773 9378 12504 13546 15017 18756 20319 27092 30034 37512 40638 45051 54184 60068 60957 81276 90102 120136 121914 135153 162552 180204 195221 243828 270306 360408 390442 487656 540612 585663 780884 1081224 1171326 1561768 1756989 2342652 3513978 4685304 7027956 7823857 14055912 15647714 23471571 31295428 46943142 62590856 70414713 93886284 101710141 140829426 187772568 203420282 281658852 305130423 406840564 563317704 610260846 813681128 915391269 1220521692 1830782538 2441043384 3661565076 7323130152