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196365904 = 24723312459
BaseRepresentation
bin10111011010001…
…00111001010000
3111200111102101021
423231010321100
5400232202104
631252445224
74603040230
oct1355047120
9450442337
10196365904
11a0930679
1255919814
13318b4157
141c117cc0
151238c754
hexbb44e50

196365904 has 80 divisors (see below), whose sum is σ = 468541440. Its totient is φ = 77869440.

The previous prime is 196365877. The next prime is 196365913. The reversal of 196365904 is 409563691.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78627 + ... + 81085.

It is an arithmetic number, because the mean of its divisors is an integer number (5856768).

Almost surely, 2196365904 is an apocalyptic number.

196365904 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 196365904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234270720).

196365904 is an abundant number, since it is smaller than the sum of its proper divisors (272175536).

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

196365904 is a wasteful number, since it uses less digits than its factorization.

196365904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 196365904 is about 14013.0619066641. The cubic root of 196365904 is about 581.2398210882.

The spelling of 196365904 in words is "one hundred ninety-six million, three hundred sixty-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 112 124 161 184 217 248 322 368 434 496 644 713 868 1288 1426 1736 2459 2576 2852 3472 4918 4991 5704 9836 9982 11408 17213 19672 19964 34426 39344 39928 56557 68852 76229 79856 113114 137704 152458 226228 275408 304916 395899 452456 533603 609832 791798 904912 1067206 1219664 1583596 1753267 2134412 3167192 3506534 4268824 6334384 7013068 8537648 12272869 14026136 24545738 28052272 49091476 98182952 196365904