Search a number
-
+
1987095040 = 295733173
BaseRepresentation
bin111011001110000…
…1010101000000000
312010111001212221121
41312130022220000
513032144020130
6525102202024
7100146013000
oct16634125000
95114055847
101987095040
1192a732a07
12475583314
132588a94a8
1414bc9a000
15b96b3d7a
hex7670aa00

1987095040 has 320 divisors, whose sum is σ = 5813913600. Its totient is φ = 650280960.

The previous prime is 1987095037. The next prime is 1987095041. The reversal of 1987095040 is 405907891.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (1987095041) 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, 27220444 + ... + 27220516.

It is an arithmetic number, because the mean of its divisors is an integer number (18168480).

Almost surely, 21987095040 is an apocalyptic number.

1987095040 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 1987095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906956800).

1987095040 is an abundant number, since it is smaller than the sum of its proper divisors (3826818560).

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

1987095040 is an frugal number, since it uses more digits than its factorization.

1987095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 1987095040 is about 44576.8442131114. The cubic root of 1987095040 is about 1257.2053286547.

The spelling of 1987095040 in words is "one billion, nine hundred eighty-seven million, ninety-five thousand, forty".