Search a number
-
+
150210200 = 23527195647
BaseRepresentation
bin10001111010000…
…00011010011000
3101110122110122202
420331000122120
5301423211300
622523305332
73502523420
oct1075003230
9343573582
10150210200
1177876168
124237b248
132517379a
1415d41480
15d2c1ad5
hex8f40698

150210200 has 96 divisors (see below), whose sum is σ = 420211200. Its totient is φ = 48781440.

The previous prime is 150210199. The next prime is 150210241. The reversal of 150210200 is 2012051.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23777 + ... + 29423.

It is an arithmetic number, because the mean of its divisors is an integer number (4377200).

Almost surely, 2150210200 is an apocalyptic number.

150210200 is a gapful number since it is divisible by the number (10) 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 150210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210105600).

150210200 is an abundant number, since it is smaller than the sum of its proper divisors (270001000).

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

150210200 is a wasteful number, since it uses less digits than its factorization.

150210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 150210200 is about 12256.0270887429. The cubic root of 150210200 is about 531.5773585617.

Adding to 150210200 its reverse (2012051), we get a palindrome (152222251).

The spelling of 150210200 in words is "one hundred fifty million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 950 1064 1330 1400 1900 2660 3325 3800 5320 5647 6650 11294 13300 22588 26600 28235 39529 45176 56470 79058 107293 112940 141175 158116 197645 214586 225880 282350 316232 395290 429172 536465 564700 751051 790580 858344 988225 1072930 1129400 1502102 1581160 1976450 2145860 2682325 3004204 3755255 3952900 4291720 5364650 6008408 7510510 7905800 10729300 15021020 18776275 21458600 30042040 37552550 75105100 150210200