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1995140160 = 263451331191
BaseRepresentation
bin111011011101011…
…0110110001000000
312011001012121210000
41312322312301000
513041223441120
6525550440000
7100304261106
oct16672666100
95131177700
101995140160
11934228372
12478203000
1325a465310
1414cd91c76
15ba252990
hex76eb6c40

1995140160 has 560 divisors, whose sum is σ = 7930847232. Its totient is φ = 472780800.

The previous prime is 1995140141. The next prime is 1995140167. The reversal of 1995140160 is 610415991.

1995140160 is a `hidden beast` number, since 199 + 5 + 1 + 401 + 60 = 666.

1995140160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995140167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10445665 + ... + 10445855.

Almost surely, 21995140160 is an apocalyptic number.

1995140160 is a gapful number since it is divisible by the number (10) 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 1995140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965423616).

1995140160 is an abundant number, since it is smaller than the sum of its proper divisors (5935707072).

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

1995140160 is a wasteful number, since it uses less digits than its factorization.

1995140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1995140160 is about 44666.9918396124. The cubic root of 1995140160 is about 1258.8997197449.

The spelling of 1995140160 in words is "one billion, nine hundred ninety-five million, one hundred forty thousand, one hundred sixty".