Search a number
-
+
200129376 = 25310719483
BaseRepresentation
bin10111110110110…
…11101101100000
3111221120121220010
423323123231200
5402213120001
631505244520
74650033366
oct1373335540
9457517803
10200129376
11a2a71187
1257033740
1332601165
141c817636
15128828d6
hexbedbb60

200129376 has 48 divisors (see below), whose sum is σ = 530276544. Its totient is φ = 66082944.

The previous prime is 200129359. The next prime is 200129399. The reversal of 200129376 is 673921002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531 + ... + 20013.

It is an arithmetic number, because the mean of its divisors is an integer number (11047428).

Almost surely, 2200129376 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 200129376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265138272).

200129376 is an abundant number, since it is smaller than the sum of its proper divisors (330147168).

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

200129376 is a wasteful number, since it uses less digits than its factorization.

200129376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19603 (or 19595 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 200129376 is about 14146.7090165876. The cubic root of 200129376 is about 584.9296197016.

The spelling of 200129376 in words is "two hundred million, one hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 19483 38966 58449 77932 116898 155864 233796 311728 467592 623456 935184 1870368 2084681 4169362 6254043 8338724 12508086 16677448 25016172 33354896 50032344 66709792 100064688 200129376