Search a number
-
+
84283100 = 225211193397
BaseRepresentation
bin1010000011000…
…00111011011100
312212121000200022
411001200323130
5133034024400
612210251312
72042252216
oct501407334
9185530608
1084283100
1143637160
1224286b38
13145cca75
14b29d5b6
1575ecb85
hex5060edc

84283100 has 72 divisors (see below), whose sum is σ = 201060048. Its totient is φ = 30412800.

The previous prime is 84283061. The next prime is 84283153. The reversal of 84283100 is 138248.

It is a super-2 number, since 2×842831002 = 14207281891220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84283100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212102 + ... + 212498.

Almost surely, 284283100 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 84283100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100530024).

84283100 is an abundant number, since it is smaller than the sum of its proper divisors (116776948).

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

84283100 is a wasteful number, since it uses less digits than its factorization.

84283100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 84283100 is about 9180.5827701731. The cubic root of 84283100 is about 438.4433630429.

The spelling of 84283100 in words is "eighty-four million, two hundred eighty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 193 220 275 386 397 550 772 794 965 1100 1588 1930 1985 2123 3860 3970 4246 4367 4825 7940 8492 8734 9650 9925 10615 17468 19300 19850 21230 21835 39700 42460 43670 53075 76621 87340 106150 109175 153242 212300 218350 306484 383105 436700 766210 842831 1532420 1685662 1915525 3371324 3831050 4214155 7662100 8428310 16856620 21070775 42141550 84283100