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196623680 = 2651183673
BaseRepresentation
bin10111011100000…
…11110101000000
3111200222111222112
423232003311000
5400313424210
631302154452
74605162611
oct1356036500
9450874875
10196623680
11a0a97310
1255a22a28
1331974596
141c183c08
15123ddd05
hexbb83d40

196623680 has 112 divisors (see below), whose sum is σ = 517696704. Its totient is φ = 70533120.

The previous prime is 196623677. The next prime is 196623697. The reversal of 196623680 is 86326691.

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, 291824 + ... + 292496.

It is an arithmetic number, because the mean of its divisors is an integer number (4622292).

Almost surely, 2196623680 is an apocalyptic number.

196623680 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 196623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258848352).

196623680 is an abundant number, since it is smaller than the sum of its proper divisors (321073024).

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

196623680 is a wasteful number, since it uses less digits than its factorization.

196623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 196623680 is about 14022.2565944287. The cubic root of 196623680 is about 581.4940474393.

The spelling of 196623680 in words is "one hundred ninety-six million, six hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 83 88 110 160 166 176 220 320 332 352 415 440 664 673 704 830 880 913 1328 1346 1660 1760 1826 2656 2692 3320 3365 3520 3652 4565 5312 5384 6640 6730 7304 7403 9130 10768 13280 13460 14608 14806 18260 21536 26560 26920 29216 29612 36520 37015 43072 53840 55859 58432 59224 73040 74030 107680 111718 118448 146080 148060 215360 223436 236896 279295 292160 296120 446872 473792 558590 592240 614449 893744 1117180 1184480 1228898 1787488 2234360 2368960 2457796 3072245 3574976 4468720 4915592 6144490 8937440 9831184 12288980 17874880 19662368 24577960 39324736 49155920 98311840 196623680