Search a number
-
+
209891968 = 27111311467
BaseRepresentation
bin11001000001010…
…11001010000000
3112121221121122121
430200223022000
5412213020333
632454414024
75126023636
oct1440531200
9477847577
10209891968
11a8529a40
125a361314
133463b940
141dc39356
151366032d
hexc82b280

209891968 has 64 divisors (see below), whose sum is σ = 491289120. Its totient is φ = 88058880.

The previous prime is 209891959. The next prime is 209891971. The reversal of 209891968 is 869198902.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12571 + ... + 24037.

Almost surely, 2209891968 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 209891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245644560).

209891968 is an abundant number, since it is smaller than the sum of its proper divisors (281397152).

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

209891968 is a wasteful number, since it uses less digits than its factorization.

209891968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11493 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 52.

The square root of 209891968 is about 14487.6488085541. The cubic root of 209891968 is about 594.2902517969.

The spelling of 209891968 in words is "two hundred nine million, eight hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 4576 9152 11467 18304 22934 45868 91736 126137 149071 183472 252274 298142 366944 504548 596284 733888 1009096 1192568 1467776 1639781 2018192 2385136 3279562 4036384 4770272 6559124 8072768 9540544 13118248 16145536 19081088 26236496 52472992 104945984 209891968