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432125540 = 2257112771013
BaseRepresentation
bin11001110000011…
…011011001100100
31010010010020210122
4121300123121210
51341111004130
6110513541112
713465002140
oct3160333144
91103106718
10432125540
11201a18350
12100874798
136b6abbb2
1441568220
1527e0c2e5
hex19c1b664

432125540 has 96 divisors (see below), whose sum is σ = 1136588544. Its totient is φ = 134069760.

The previous prime is 432125521. The next prime is 432125543. The reversal of 432125540 is 45521234.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (432125543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426074 + ... + 427086.

It is an arithmetic number, because the mean of its divisors is an integer number (11839464).

Almost surely, 2432125540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432125540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568294272).

432125540 is an abundant number, since it is smaller than the sum of its proper divisors (704463004).

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

432125540 is a wasteful number, since it uses less digits than its factorization.

432125540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 432125540 is about 20787.6294944854. The cubic root of 432125540 is about 756.0258499228.

Adding to 432125540 its reverse (45521234), we get a palindrome (477646774).

The spelling of 432125540 in words is "four hundred thirty-two million, one hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 277 308 385 554 770 1013 1108 1385 1540 1939 2026 2770 3047 3878 4052 5065 5540 6094 7091 7756 9695 10130 11143 12188 14182 15235 19390 20260 21329 22286 28364 30470 35455 38780 42658 44572 55715 60940 70910 78001 85316 106645 111430 141820 156002 213290 222860 280601 312004 390005 426580 561202 780010 1122404 1403005 1560020 1964207 2806010 3086611 3928414 5612020 6173222 7856828 9821035 12346444 15433055 19642070 21606277 30866110 39284140 43212554 61732220 86425108 108031385 216062770 432125540