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201684096 = 2732296037
BaseRepresentation
bin11000000010101…
…11010010000000
3112001111121120100
430001113102000
5403112342341
632002442400
74666200165
oct1401272200
9461447510
10201684096
11a3933279
1257663400
1332a26a03
141cb0006c
1512a8d3b6
hexc057480

201684096 has 96 divisors (see below), whose sum is σ = 600479100. Its totient is φ = 64899072.

The previous prime is 201684083. The next prime is 201684113. The reversal of 201684096 is 690486102.

It can be written as a sum of positive squares in 2 ways, for example, as 197121600 + 4562496 = 14040^2 + 2136^2 .

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 201684096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30390 + ... + 36426.

Almost surely, 2201684096 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 201684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300239550).

201684096 is an abundant number, since it is smaller than the sum of its proper divisors (398795004).

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

201684096 is a wasteful number, since it uses less digits than its factorization.

201684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6086 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 201684096 is about 14201.5525911782. The cubic root of 201684096 is about 586.4404040238.

The spelling of 201684096 in words is "two hundred one million, six hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 6037 8352 11136 12074 16704 18111 24148 33408 36222 48296 54333 72444 96592 108666 144888 175073 193184 217332 289776 350146 386368 434664 525219 579552 700292 772736 869328 1050438 1159104 1400584 1575657 1738656 2100876 2318208 2801168 3151314 3477312 4201752 5602336 6302628 6954624 8403504 11204672 12605256 16807008 22409344 25210512 33614016 50421024 67228032 100842048 201684096