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714880 = 2751117
BaseRepresentation
bin10101110100010000000
31100022122001
42232202000
5140334010
623153344
76035125
oct2564200
91308561
10714880
11449111
122a5854
131c050a
1414874c
15e1c3a
hexae880

714880 has 32 divisors (see below), whose sum is σ = 1710540. Its totient is φ = 285696.

The previous prime is 714869. The next prime is 714881. The reversal of 714880 is 88417.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 87616 = 792^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×7148802 = 1022106828800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (714881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82 + ... + 1198.

2714880 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 714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855270).

714880 is an abundant number, since it is smaller than the sum of its proper divisors (995660).

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

714880 is a wasteful number, since it uses less digits than its factorization.

714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 714880 is about 845.5057657994. The cubic root of 714880 is about 89.4151375622.

The spelling of 714880 in words is "seven hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1117 2234 4468 5585 8936 11170 17872 22340 35744 44680 71488 89360 142976 178720 357440 714880