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196573680 = 24325416659
BaseRepresentation
bin10111011011101…
…11100111110000
3111200212222101200
423231313213300
5400310324210
631301131200
74604564052
oct1355674760
9450788350
10196573680
11a0a62796
12559b9b00
13319578b4
141c16d8d2
15123ce0c0
hexbb779f0

196573680 has 120 divisors (see below), whose sum is σ = 676362960. Its totient is φ = 51133440.

The previous prime is 196573673. The next prime is 196573717. The reversal of 196573680 is 86375691.

It is a happy number.

196573680 is a `hidden beast` number, since 19 + 6 + 573 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26191 + ... + 32849.

It is an arithmetic number, because the mean of its divisors is an integer number (5636358).

Almost surely, 2196573680 is an apocalyptic number.

196573680 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 196573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338181480).

196573680 is an abundant number, since it is smaller than the sum of its proper divisors (479789280).

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

196573680 is a wasteful number, since it uses less digits than its factorization.

196573680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 196573680 is about 14020.4736011306. The cubic root of 196573680 is about 581.4447533305. Note that the first 3 decimals are identical.

The spelling of 196573680 in words is "one hundred ninety-six million, five hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 6659 7380 9840 13318 14760 19977 26636 29520 33295 39954 53272 59931 66590 79908 99885 106544 119862 133180 159816 199770 239724 266360 273019 299655 319632 399540 479448 532720 546038 599310 799080 819057 958896 1092076 1198620 1365095 1598160 1638114 2184152 2397240 2457171 2730190 3276228 4095285 4368304 4794480 4914342 5460380 6552456 8190570 9828684 10920760 12285855 13104912 16381140 19657368 21841520 24571710 32762280 39314736 49143420 65524560 98286840 196573680