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1936140030 = 23351117311237
BaseRepresentation
bin111001101100111…
…0010011011111110
311222221012002211000
41303121302123332
512431122440110
6520042111130
765656630056
oct16331623376
94887162730
101936140030
1190399a730
124604ab4a6
1324b1784b6
141451d4566
15b4e9b1c0
hex736726fe

1936140030 has 256 divisors, whose sum is σ = 6161080320. Its totient is φ = 427161600.

The previous prime is 1936140029. The next prime is 1936140049. The reversal of 1936140030 is 300416391.

1936140030 is a `hidden beast` number, since 19 + 3 + 614 + 0 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1936139976 and 1936140003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1564572 + ... + 1565808.

It is an arithmetic number, because the mean of its divisors is an integer number (24066720).

Almost surely, 21936140030 is an apocalyptic number.

1936140030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1936140030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080540160).

1936140030 is an abundant number, since it is smaller than the sum of its proper divisors (4224940290).

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

1936140030 is a wasteful number, since it uses less digits than its factorization.

1936140030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1936140030 is about 44001.5912212274. The cubic root of 1936140030 is about 1246.3659851201.

The spelling of 1936140030 in words is "one billion, nine hundred thirty-six million, one hundred forty thousand, thirty".