Search a number
-
+
2713205000 = 23541149331
BaseRepresentation
bin1010000110111000…
…0011100100001000
321000002101002120002
42201232003210020
521024040030000
61125121222132
7124143601442
oct24156034410
97002332502
102713205000
111172596090
12638791948
1334315b05c
141ba4ad492
1510d2e28d5
hexa1b83908

2713205000 has 80 divisors (see below), whose sum is σ = 6935092560. Its totient is φ = 986600000.

The previous prime is 2713204987. The next prime is 2713205003. The reversal of 2713205000 is 5023172.

It is a super-2 number, since 2×27132050002 = 14722962744050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2713205003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30335 + ... + 79665.

It is an arithmetic number, because the mean of its divisors is an integer number (86688657).

Almost surely, 22713205000 is an apocalyptic number.

2713205000 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 2713205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467546280).

2713205000 is an abundant number, since it is smaller than the sum of its proper divisors (4221887560).

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

2713205000 is a wasteful number, since it uses less digits than its factorization.

2713205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49368 (or 49349 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 2713205000 is about 52088.4344168646. The cubic root of 2713205000 is about 1394.7430400754.

Adding to 2713205000 its reverse (5023172), we get a palindrome (2718228172).

The spelling of 2713205000 in words is "two billion, seven hundred thirteen million, two hundred five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 5000 5500 6875 11000 13750 27500 49331 55000 98662 197324 246655 394648 493310 542641 986620 1085282 1233275 1973240 2170564 2466550 2713205 4341128 4933100 5426410 6166375 9866200 10852820 12332750 13566025 21705640 24665500 27132050 30831875 49331000 54264100 61663750 67830125 108528200 123327500 135660250 246655000 271320500 339150625 542641000 678301250 1356602500 2713205000