Search a number
-
+
196987680 = 2533545599
BaseRepresentation
bin10111011110111…
…00101100100000
3111201200000022000
423233130230200
5400412101210
631314044000
74611240051
oct1357345440
9451600260
10196987680
11a121583a
1255b79600
1331a71176
141c23a728
1512461ac0
hexbbdcb20

196987680 has 96 divisors (see below), whose sum is σ = 689472000. Its totient is φ = 52528896.

The previous prime is 196987643. The next prime is 196987751. The reversal of 196987680 is 86789691.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18480 + ... + 27119.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2196987680 is an apocalyptic number.

196987680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196987680 is an abundant number, since it is smaller than the sum of its proper divisors (492484320).

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

196987680 is a wasteful number, since it uses less digits than its factorization.

196987680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45623 (or 45609 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 196987680 is about 14035.2299589284. The cubic root of 196987680 is about 581.8526569297.

The spelling of 196987680 in words is "one hundred ninety-six million, nine hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 45599 91198 136797 182396 227995 273594 364792 410391 455990 547188 683985 729584 820782 911980 1094376 1231173 1367970 1459168 1641564 1823960 2051955 2188752 2462346 2735940 3283128 3647920 4103910 4377504 4924692 5471880 6155865 6566256 7295840 8207820 9849384 10943760 12311730 13132512 16415640 19698768 21887520 24623460 32831280 39397536 49246920 65662560 98493840 196987680