Search a number
-
+
2714900 = 2252171597
BaseRepresentation
bin1010010110110100010100
312002221010212
422112310110
51143334100
6134104552
732035106
oct12266424
95087125
102714900
111594821
12aab158
13740966
14509576
15389635
hex296d14

2714900 has 36 divisors (see below), whose sum is σ = 6241788. Its totient is φ = 1021440.

The previous prime is 2714867. The next prime is 2714903. The reversal of 2714900 is 94172.

It can be written as a sum of positive squares in 6 ways, for example, as 64516 + 2650384 = 254^2 + 1628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2714903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 902 + ... + 2498.

It is an arithmetic number, because the mean of its divisors is an integer number (173383).

22714900 is an apocalyptic number.

2714900 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 2714900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120894).

2714900 is an abundant number, since it is smaller than the sum of its proper divisors (3526888).

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

2714900 is a wasteful number, since it uses less digits than its factorization.

2714900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 2714900 is about 1647.6953601925. The cubic root of 2714900 is about 139.5033422031.

The spelling of 2714900 in words is "two million, seven hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1597 1700 3194 6388 7985 15970 27149 31940 39925 54298 79850 108596 135745 159700 271490 542980 678725 1357450 2714900