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2032125140 = 225101606257
BaseRepresentation
bin111100100011111…
…1100010011010100
312020121210122122002
41321013330103110
513130211001030
6533351254432
7101233531043
oct17107742324
95217718562
102032125140
11953099771
1248867a418
13265014716
14153c5c55a
15bd60b245
hex791fc4d4

2032125140 has 12 divisors (see below), whose sum is σ = 4267462836. Its totient is φ = 812850048.

The previous prime is 2032125131. The next prime is 2032125167. The reversal of 2032125140 is 415212302.

It can be written as a sum of positive squares in 2 ways, for example, as 1073479696 + 958645444 = 32764^2 + 30962^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 101606257 = 2032125140 / (2 + 0 + 3 + 2 + 1 + 2 + 5 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 50803109 + ... + 50803148.

It is an arithmetic number, because the mean of its divisors is an integer number (355621903).

Almost surely, 22032125140 is an apocalyptic number.

2032125140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032125140 is an abundant number, since it is smaller than the sum of its proper divisors (2235337696).

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

2032125140 is a wasteful number, since it uses less digits than its factorization.

2032125140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101606266 (or 101606264 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2032125140 is about 45079.0987043885. The cubic root of 2032125140 is about 1266.6311068811.

Adding to 2032125140 its reverse (415212302), we get a palindrome (2447337442).

The spelling of 2032125140 in words is "two billion, thirty-two million, one hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101606257 203212514 406425028 508031285 1016062570 2032125140