Search a number
-
+
1016422992 = 243413234361
BaseRepresentation
bin111100100101010…
…110001001010000
32121211120122020000
4330211112021100
54040201013432
6244505250000
734121311224
oct7445261120
92554518200
101016422992
11481820702
12244493900
1313276a430
1498dc4784
155e37757c
hex3c956250

1016422992 has 400 divisors, whose sum is σ = 3438196608. Its totient is φ = 287400960.

The previous prime is 1016422973. The next prime is 1016422997. The reversal of 1016422992 is 2992246101.

1016422992 is a `hidden beast` number, since 1 + 0 + 1 + 642 + 2 + 9 + 9 + 2 = 666.

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 (1016422997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16662642 + ... + 16662702.

Almost surely, 21016422992 is an apocalyptic number.

1016422992 is a gapful number since it is divisible by the number (12) 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 1016422992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719098304).

1016422992 is an abundant number, since it is smaller than the sum of its proper divisors (2421773616).

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

1016422992 is a wasteful number, since it uses less digits than its factorization.

1016422992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1016422992 is about 31881.3894301989. The cubic root of 1016422992 is about 1005.4446328396. Note that the first 3 decimals are identical.

The spelling of 1016422992 in words is "one billion, sixteen million, four hundred twenty-two thousand, nine hundred ninety-two".