Search a number
-
+
196614912 = 2831347419
BaseRepresentation
bin10111011100000…
…01101100000000
3111200222001221210
423232001230000
5400313134122
631302050120
74605125214
oct1356015400
9450861853
10196614912
11a0a9076a
1255a19940
13319705b0
141c180944
15123db40c
hexbb81b00

196614912 has 144 divisors (see below), whose sum is σ = 576898560. Its totient is φ = 59068416.

The previous prime is 196614893. The next prime is 196614919. The reversal of 196614912 is 219416691.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (196614919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469039 + ... + 469457.

It is an arithmetic number, because the mean of its divisors is an integer number (4006240).

Almost surely, 2196614912 is an apocalyptic number.

196614912 is a gapful number since it is divisible by the number (12) 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 196614912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288449280).

196614912 is an abundant number, since it is smaller than the sum of its proper divisors (380283648).

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

196614912 is a wasteful number, since it uses less digits than its factorization.

196614912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 196614912 is about 14021.9439451169. The cubic root of 196614912 is about 581.4854038287.

The spelling of 196614912 in words is "one hundred ninety-six million, six hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 128 141 156 188 192 208 256 282 312 376 384 416 419 564 611 624 752 768 832 838 1128 1222 1248 1257 1504 1664 1676 1833 2256 2444 2496 2514 3008 3328 3352 3666 4512 4888 4992 5028 5447 6016 6704 7332 9024 9776 9984 10056 10894 12032 13408 14664 16341 18048 19552 19693 20112 21788 26816 29328 32682 36096 39104 39386 40224 43576 53632 58656 59079 65364 78208 78772 80448 87152 107264 117312 118158 130728 156416 157544 160896 174304 234624 236316 256009 261456 315088 321792 348608 469248 472632 512018 522912 630176 697216 768027 945264 1024036 1045824 1260352 1394432 1536054 1890528 2048072 2091648 2520704 3072108 3781056 4096144 4183296 5041408 6144216 7562112 8192288 12288432 15124224 16384576 24576864 32769152 49153728 65538304 98307456 196614912