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5206607000 = 235371743753
BaseRepresentation
bin1001101100101011…
…01000010010011000
3111102212011001002022
410312111220102120
541130342411000
62220351354012
7243011300150
oct46625502230
914385131068
105206607000
112231aa29a1
121013822908
1364c8ba25a
143756c3760
15207168585
hex136568498

5206607000 has 128 divisors (see below), whose sum is σ = 14743347840. Its totient is φ = 1680076800.

The previous prime is 5206606973. The next prime is 5206607011. The reversal of 5206607000 is 7066025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97124 + ... + 140876.

It is an arithmetic number, because the mean of its divisors is an integer number (115182405).

Almost surely, 25206607000 is an apocalyptic number.

5206607000 is a gapful number since it is divisible by the number (50) 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 5206607000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371673920).

5206607000 is an abundant number, since it is smaller than the sum of its proper divisors (9536740840).

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

5206607000 is a wasteful number, since it uses less digits than its factorization.

5206607000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43798 (or 43784 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 5206607000 is about 72156.8222692768. The cubic root of 5206607000 is about 1733.2116490842.

The spelling of 5206607000 in words is "five billion, two hundred six million, six hundred seven thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 11900 14875 17000 23800 29750 43753 59500 87506 119000 175012 218765 306271 350024 437530 612542 743801 875060 1093825 1225084 1487602 1531355 1750120 2187650 2450168 2975204 3062710 3719005 4375300 5206607 5469125 5950408 6125420 7438010 7656775 8750600 10413214 10938250 12250840 14876020 15313550 18595025 20826428 21876500 26033035 29752040 30627100 37190050 38283875 41652856 43753000 52066070 61254200 74380100 76567750 92975125 104132140 130165175 148760200 153135500 185950250 208264280 260330350 306271000 371900500 520660700 650825875 743801000 1041321400 1301651750 2603303500 5206607000