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196046400 = 26352114779
BaseRepresentation
bin10111010111101…
…10111001000000
3111122220012002210
423223312321000
5400141441100
631241542120
74600236564
oct1353667100
9448805083
10196046400
11a0732620
12557a4940
13318018b4
141c0736a4
1512327c50
hexbaf6e40

196046400 has 336 divisors, whose sum is σ = 725667840. Its totient is φ = 45926400.

The previous prime is 196046381. The next prime is 196046401. The reversal of 196046400 is 4640691.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (196046401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2481561 + ... + 2481639.

Almost surely, 2196046400 is an apocalyptic number.

196046400 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 196046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362833920).

196046400 is an abundant number, since it is smaller than the sum of its proper divisors (529621440).

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

196046400 is a wasteful number, since it uses less digits than its factorization.

196046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 196046400 is about 14001.6570447929. The cubic root of 196046400 is about 580.9244077768.

The spelling of 196046400 in words is "one hundred ninety-six million, forty-six thousand, four hundred".