Search a number
-
+
200870496 = 25331371697
BaseRepresentation
bin10111111100100…
…00101001100000
3111222222021112000
423332100221200
5402410323441
631533204000
74656241161
oct1376205140
9458867460
10200870496
11a3427a82
1257330600
13328005a8
141c96b768
151297c2b6
hexbf90a60

200870496 has 96 divisors (see below), whose sum is σ = 590496480. Its totient is φ = 66428928.

The previous prime is 200870491. The next prime is 200870507. The reversal of 200870496 is 694078002.

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 200870496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200870491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117520 + ... + 119216.

It is an arithmetic number, because the mean of its divisors is an integer number (6151005).

Almost surely, 2200870496 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 200870496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295248240).

200870496 is an abundant number, since it is smaller than the sum of its proper divisors (389625984).

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

200870496 is a wasteful number, since it uses less digits than its factorization.

200870496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 200870496 is about 14172.8788889202. The cubic root of 200870496 is about 585.6507682403.

The spelling of 200870496 in words is "two hundred million, eight hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 137 144 216 274 288 411 432 548 822 864 1096 1233 1644 1697 2192 2466 3288 3394 3699 4384 4932 5091 6576 6788 7398 9864 10182 13152 13576 14796 15273 19728 20364 27152 29592 30546 39456 40728 45819 54304 59184 61092 81456 91638 118368 122184 162912 183276 232489 244368 366552 464978 488736 697467 733104 929956 1394934 1466208 1859912 2092401 2789868 3719824 4184802 5579736 6277203 7439648 8369604 11159472 12554406 16739208 22318944 25108812 33478416 50217624 66956832 100435248 200870496