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196764768 = 2533297853
BaseRepresentation
bin10111011101001…
…10010001100000
3111201020200112000
423232212101200
5400332433033
631305204000
74606321134
oct1356462140
9451220460
10196764768
11a1083312
1255a90600
13319c3875
141c1bd3c4
151241aa13
hexbba6460

196764768 has 96 divisors (see below), whose sum is σ = 593762400. Its totient is φ = 63318528.

The previous prime is 196764767. The next prime is 196764769. The reversal of 196764768 is 867467691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (196764767) and next prime (196764769).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196764767) by changing a digit.

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, 21130 + ... + 28982.

It is an arithmetic number, because the mean of its divisors is an integer number (6185025).

Almost surely, 2196764768 is an apocalyptic number.

196764768 is a gapful number since it is divisible by the number (18) 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 196764768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296881200).

196764768 is an abundant number, since it is smaller than the sum of its proper divisors (396997632).

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

196764768 is a wasteful number, since it uses less digits than its factorization.

196764768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7901 (or 7887 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 196764768 is about 14027.2865515751. The cubic root of 196764768 is about 581.6330985391.

The spelling of 196764768 in words is "one hundred ninety-six million, seven hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 7853 8352 12528 15706 23559 25056 31412 47118 62824 70677 94236 125648 141354 188472 212031 227737 251296 282708 376944 424062 455474 565416 683211 753888 848124 910948 1130832 1366422 1696248 1821896 2049633 2261664 2732844 3392496 3643792 4099266 5465688 6148899 6784992 7287584 8198532 10931376 12297798 16397064 21862752 24595596 32794128 49191192 65588256 98382384 196764768