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186990820 = 225174611193
BaseRepresentation
bin10110010010101…
…00000011100100
3111000212010011221
423021110003210
5340332201240
630315510124
74430252512
oct1311240344
9430763157
10186990820
1196607a75
1252758344
132c980b73
141ab974b2
1511639a4a
hexb2540e4

186990820 has 48 divisors (see below), whose sum is σ = 417030768. Its totient is φ = 70184960.

The previous prime is 186990787. The next prime is 186990823. The reversal of 186990820 is 28099681.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12544 + 186978276 = 112^2 + 13674^2 .

It is not an unprimeable number, because it can be changed into a prime (186990823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 156144 + ... + 157336.

It is an arithmetic number, because the mean of its divisors is an integer number (8688141).

Almost surely, 2186990820 is an apocalyptic number.

186990820 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 186990820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208515384).

186990820 is an abundant number, since it is smaller than the sum of its proper divisors (230039948).

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

186990820 is a wasteful number, since it uses less digits than its factorization.

186990820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 186990820 is about 13674.4586730152. The cubic root of 186990820 is about 571.8385488228.

The spelling of 186990820 in words is "one hundred eighty-six million, nine hundred ninety thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 461 922 1193 1844 2305 2386 4610 4772 5965 7837 9220 11930 15674 20281 23860 31348 39185 40562 78370 81124 101405 156740 202810 405620 549973 1099946 2199892 2749865 5499730 9349541 10999460 18699082 37398164 46747705 93495410 186990820