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4132040320 = 2756456313
BaseRepresentation
bin1111011001001001…
…1110111010000000
3101122222011101201101
43312102132322000
531430300242240
61522003544144
7204252522532
oct36622367200
911588141641
104132040320
11183047a061
1297398b054
1350b0a2a95
142b2ac5852
15192b5839a
hexf649ee80

4132040320 has 32 divisors (see below), whose sum is σ = 9878160420. Its totient is φ = 1652815872.

The previous prime is 4132040303. The next prime is 4132040327. The reversal of 4132040320 is 230402314.

4132040320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3678179904 + 453860416 = 60648^2 + 21304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×41320403202 = 34147514412211404800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4132040327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3227517 + ... + 3228796.

Almost surely, 24132040320 is an apocalyptic number.

4132040320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132040320 is an abundant number, since it is smaller than the sum of its proper divisors (5746120100).

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

4132040320 is an equidigital number, since it uses as much as digits as its factorization.

4132040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456332 (or 6456320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4132040320 is about 64280.9483439689. The cubic root of 4132040320 is about 1604.6790531995.

Adding to 4132040320 its reverse (230402314), we get a palindrome (4362442634).

The spelling of 4132040320 in words is "four billion, one hundred thirty-two million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 6456313 12912626 25825252 32281565 51650504 64563130 103301008 129126260 206602016 258252520 413204032 516505040 826408064 1033010080 2066020160 4132040320