Search a number
-
+
1988165088 = 25347138429
BaseRepresentation
bin111011010000000…
…1111110111100000
312010120002020210000
41312200033313200
513032432240323
6525141140000
7100161060450
oct16640176740
95116066700
101988165088
119302a3948
124759ba600
13258b92560
1414c097d60
15b9825e43
hex7680fde0

1988165088 has 240 divisors, whose sum is σ = 7197331680. Its totient is φ = 524289024.

The previous prime is 1988165051. The next prime is 1988165089. The reversal of 1988165088 is 8805618891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1988165089) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 231658 + ... + 240086.

It is an arithmetic number, because the mean of its divisors is an integer number (29988882).

Almost surely, 21988165088 is an apocalyptic number.

1988165088 is a gapful number since it is divisible by the number (18) 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 1988165088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598665840).

1988165088 is an abundant number, since it is smaller than the sum of its proper divisors (5209166592).

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

1988165088 is a wasteful number, since it uses less digits than its factorization.

1988165088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8471 (or 8454 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The square root of 1988165088 is about 44588.8448829974. The cubic root of 1988165088 is about 1257.4309559510.

The spelling of 1988165088 in words is "one billion, nine hundred eighty-eight million, one hundred sixty-five thousand, eighty-eight".