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201986620 = 225117312577
BaseRepresentation
bin11000000101000…
…01001000111100
3112002001222112221
430002201020330
5403202032440
632013135124
75001600163
oct1402411074
9462058487
10201986620
11a401a5a0
125778a4a4
1332b01614
141cb7c3da
1512aecd4a
hexc0a123c

201986620 has 48 divisors (see below), whose sum is σ = 469109088. Its totient is φ = 72437760.

The previous prime is 201986593. The next prime is 201986627. The reversal of 201986620 is 26689102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201986627) 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, 9772 + ... + 22348.

It is an arithmetic number, because the mean of its divisors is an integer number (9773106).

Almost surely, 2201986620 is an apocalyptic number.

201986620 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 201986620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234554544).

201986620 is an abundant number, since it is smaller than the sum of its proper divisors (267122468).

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

201986620 is a wasteful number, since it uses less digits than its factorization.

201986620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12670 (or 12668 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 201986620 is about 14212.1996889996. The cubic root of 201986620 is about 586.7334756618.

The spelling of 201986620 in words is "two hundred one million, nine hundred eighty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 12577 16060 25154 50308 62885 125770 138347 251540 276694 553388 691735 918121 1383470 1836242 2766940 3672484 4590605 9181210 10099331 18362420 20198662 40397324 50496655 100993310 201986620