Search a number
-
+
1972397196 = 22337211311093
BaseRepresentation
bin111010110010000…
…0110010010001100
312002110102011022000
41311210012102030
513014413202241
6523415152300
766610046100
oct16544062214
95073364260
101972397196
11922404230
12470675690
13255831543
14149d51900
15b825deb6
hex7590648c

1972397196 has 288 divisors, whose sum is σ = 6704732160. Its totient is φ = 495331200.

The previous prime is 1972397191. The next prime is 1972397237. The reversal of 1972397196 is 6917932791.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972397191) 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 95 ways as a sum of consecutive naturals, for example, 1804026 + ... + 1805118.

It is an arithmetic number, because the mean of its divisors is an integer number (23280320).

Almost surely, 21972397196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972397196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352366080).

1972397196 is an abundant number, since it is smaller than the sum of its proper divisors (4732334964).

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

1972397196 is a wasteful number, since it uses less digits than its factorization.

1972397196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1147 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The square root of 1972397196 is about 44411.6785992153. The cubic root of 1972397196 is about 1254.0979525601.

The spelling of 1972397196 in words is "one billion, nine hundred seventy-two million, three hundred ninety-seven thousand, one hundred ninety-six".