Search a number
-
+
82420700 = 22527910433
BaseRepresentation
bin1001110100110…
…10001111011100
312202002101221112
410322122033130
5132044430300
612102321152
72020364405
oct472321734
9182071845
1082420700
114258498a
12237291b8
13140ca15b
14ad369ac
157380e35
hex4e9a3dc

82420700 has 36 divisors (see below), whose sum is σ = 181134240. Its totient is φ = 32547840.

The previous prime is 82420693. The next prime is 82420739. The reversal of 82420700 is 702428.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2684 + ... + 13116.

Almost surely, 282420700 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 82420700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90567120).

82420700 is an abundant number, since it is smaller than the sum of its proper divisors (98713540).

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

82420700 is a wasteful number, since it uses less digits than its factorization.

82420700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10526 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 82420700 is about 9078.5846914593. The cubic root of 82420700 is about 435.1898585507.

The spelling of 82420700 in words is "eighty-two million, four hundred twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 7900 10433 20866 41732 52165 104330 208660 260825 521650 824207 1043300 1648414 3296828 4121035 8242070 16484140 20605175 41210350 82420700