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196329400 = 23523743617
BaseRepresentation
bin10111011001110…
…11111110111000
3111200102120022021
423230323332320
5400230020100
631252004224
74602525631
oct1354737670
9450376267
10196329400
11a0906203
1255900674
13318a0657
141c108888
1512381a1a
hexbb3bfb8

196329400 has 96 divisors (see below), whose sum is σ = 480482640. Its totient is φ = 74511360.

The previous prime is 196329377. The next prime is 196329401. The reversal of 196329400 is 4923691.

196329400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196329401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317892 + ... + 318508.

Almost surely, 2196329400 is an apocalyptic number.

196329400 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 196329400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240241320).

196329400 is an abundant number, since it is smaller than the sum of its proper divisors (284153240).

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

196329400 is a wasteful number, since it uses less digits than its factorization.

196329400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 196329400 is about 14011.7593470627. The cubic root of 196329400 is about 581.2038017778.

The spelling of 196329400 in words is "one hundred ninety-six million, three hundred twenty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 43 50 74 86 100 148 172 185 200 215 296 344 370 430 617 740 860 925 1075 1234 1480 1591 1720 1850 2150 2468 3085 3182 3700 4300 4936 6170 6364 7400 7955 8600 12340 12728 15425 15910 22829 24680 26531 30850 31820 39775 45658 53062 61700 63640 79550 91316 106124 114145 123400 132655 159100 182632 212248 228290 265310 318200 456580 530620 570725 663275 913160 981647 1061240 1141450 1326550 1963294 2282900 2653100 3926588 4565800 4908235 5306200 7853176 9816470 19632940 24541175 39265880 49082350 98164700 196329400