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196070784 = 27371331181
BaseRepresentation
bin10111010111111…
…00110110000000
3111122221102112220
423223330312000
5400143231114
631242251040
74600400640
oct1353746600
9448842486
10196070784
11a0749978
12557b6a80
133180ca20
141c07c520
15123300a9
hexbafcd80

196070784 has 256 divisors, whose sum is σ = 665333760. Its totient is φ = 49766400.

The previous prime is 196070783. The next prime is 196070789. The reversal of 196070784 is 487070691.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196070783) 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, 1083174 + ... + 1083354.

It is an arithmetic number, because the mean of its divisors is an integer number (2598960).

Almost surely, 2196070784 is an apocalyptic number.

196070784 is a gapful number since it is divisible by the number (14) 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 196070784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332666880).

196070784 is an abundant number, since it is smaller than the sum of its proper divisors (469262976).

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

196070784 is a wasteful number, since it uses less digits than its factorization.

196070784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 196070784 is about 14002.5277717989. The cubic root of 196070784 is about 580.9484916561.

The spelling of 196070784 in words is "one hundred ninety-six million, seventy thousand, seven hundred eighty-four".