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201986920 = 23523241911
BaseRepresentation
bin11000000101000…
…01001101101000
3112002001222222001
430002201031220
5403202040140
632013140344
75001601102
oct1402411550
9462058861
10201986920
11a401a843
125778a6b4
1332b017b5
141cb7c572
1512aece9a
hexc0a1368

201986920 has 64 divisors (see below), whose sum is σ = 476720640. Its totient is φ = 76876800.

The previous prime is 201986899. The next prime is 201986927. The reversal of 201986920 is 29689102.

It is a self number, because there is not a number n which added to its sum of digits gives 201986920.

It is not an unprimeable number, because it can be changed into a prime (201986927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221265 + ... + 222175.

It is an arithmetic number, because the mean of its divisors is an integer number (7448760).

Almost surely, 2201986920 is an apocalyptic number.

201986920 is a gapful number since it is divisible by the number (20) 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 201986920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238360320).

201986920 is an abundant number, since it is smaller than the sum of its proper divisors (274733720).

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

201986920 is a wasteful number, since it uses less digits than its factorization.

201986920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 201986920 is about 14212.2102433084. The cubic root of 201986920 is about 586.7337661430.

The spelling of 201986920 in words is "two hundred one million, nine hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 241 460 482 911 920 964 1205 1822 1928 2410 3644 4555 4820 5543 7288 9110 9640 11086 18220 20953 22172 27715 36440 41906 44344 55430 83812 104765 110860 167624 209530 219551 221720 419060 439102 838120 878204 1097755 1756408 2195510 4391020 5049673 8782040 10099346 20198692 25248365 40397384 50496730 100993460 201986920