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196573800 = 233521392357
BaseRepresentation
bin10111011011101…
…11101001101000
3111200212222120010
423231313221220
5400310330200
631301131520
74604564313
oct1355675150
9450788503
10196573800
11a0a62895
12559b9ba0
1331957977
141c16d97a
15123ce150
hexbb77a68

196573800 has 96 divisors (see below), whose sum is σ = 614023200. Its totient is φ = 52020480.

The previous prime is 196573799. The next prime is 196573813. The reversal of 196573800 is 8375691.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82222 + ... + 84578.

It is an arithmetic number, because the mean of its divisors is an integer number (6396075).

Almost surely, 2196573800 is an apocalyptic number.

196573800 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 196573800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307011600).

196573800 is an abundant number, since it is smaller than the sum of its proper divisors (417449400).

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

196573800 is a wasteful number, since it uses less digits than its factorization.

196573800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 196573800 is about 14020.4778805860. The cubic root of 196573800 is about 581.4448716464. Note that the first 3 decimals are identical.

The spelling of 196573800 in words is "one hundred ninety-six million, five hundred seventy-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 139 150 200 278 300 417 556 600 695 834 1112 1390 1668 2085 2357 2780 3336 3475 4170 4714 5560 6950 7071 8340 9428 10425 11785 13900 14142 16680 18856 20850 23570 27800 28284 35355 41700 47140 56568 58925 70710 83400 94280 117850 141420 176775 235700 282840 327623 353550 471400 655246 707100 982869 1310492 1414200 1638115 1965738 2620984 3276230 3931476 4914345 6552460 7862952 8190575 9828690 13104920 16381150 19657380 24571725 32762300 39314760 49143450 65524600 98286900 196573800