Search a number
-
+
1197740640 = 25352325389
BaseRepresentation
bin100011101100100…
…0001001001100000
310002110202112021110
41013121001021200
54423110200030
6314503423320
741452425135
oct10731011140
93073675243
101197740640
115651032a8
12295154b40
131611b2c95
14b510258c
15702411b0
hex47641260

1197740640 has 288 divisors, whose sum is σ = 4063620960. Its totient is φ = 296378368.

The previous prime is 1197740623. The next prime is 1197740641. The reversal of 1197740640 is 460477911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1197740641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13457716 + ... + 13457804.

It is an arithmetic number, because the mean of its divisors is an integer number (14109795).

Almost surely, 21197740640 is an apocalyptic number.

1197740640 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 1197740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031810480).

1197740640 is an abundant number, since it is smaller than the sum of its proper divisors (2865880320).

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

1197740640 is a wasteful number, since it uses less digits than its factorization.

1197740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 1197740640 is about 34608.3897342826. The cubic root of 1197740640 is about 1061.9912256644.

The spelling of 1197740640 in words is "one billion, one hundred ninety-seven million, seven hundred forty thousand, six hundred forty".