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191206912 = 2913231249
BaseRepresentation
bin10110110010110…
…01011000000000
3111022210022120111
423121121120000
5342422110122
630550121104
74511142361
oct1331313000
9438708514
10191206912
1198a27646
1254050194
13307c8bb0
141b573b68
1511bbdd77
hexb659600

191206912 has 80 divisors (see below), whose sum is σ = 429660000. Its totient is φ = 84344832.

The previous prime is 191206901. The next prime is 191206919. The reversal of 191206912 is 219602191.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191206919) 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 7 ways as a sum of consecutive naturals, for example, 152464 + ... + 153712.

It is an arithmetic number, because the mean of its divisors is an integer number (5370750).

Almost surely, 2191206912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191206912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214830000).

191206912 is an abundant number, since it is smaller than the sum of its proper divisors (238453088).

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

191206912 is a wasteful number, since it uses less digits than its factorization.

191206912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 191206912 is about 13827.7587482571. The cubic root of 191206912 is about 576.1044049429.

The spelling of 191206912 in words is "one hundred ninety-one million, two hundred six thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1196 1249 1472 1664 2392 2498 2944 3328 4784 4996 5888 6656 9568 9992 11776 16237 19136 19984 28727 32474 38272 39968 57454 64948 76544 79936 114908 129896 153088 159872 229816 259792 319744 373451 459632 519584 639488 746902 919264 1039168 1493804 1838528 2078336 2987608 3677056 4156672 5975216 7354112 8313344 11950432 14708224 23900864 47801728 95603456 191206912