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714420 = 2236572
BaseRepresentation
bin10101110011010110100
31100022000000
42232122310
5140330140
623151300
76033600
oct2563264
91308000
10714420
11448833
122a5530
131c0245
14148500
15e1a30
hexae6b4

714420 has 126 divisors (see below), whose sum is σ = 2616642. Its totient is φ = 163296.

The previous prime is 714377. The next prime is 714443. The reversal of 714420 is 24417.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 571536 + 142884 = 756^2 + 378^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3 and base 11.

It is a junction number, because it is equal to n+sod(n) for n = 714393 and 714402.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 714420.

It is an unprimeable number.

714420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 102057 + ... + 102063.

It is an arithmetic number, because the mean of its divisors is an integer number (20767).

2714420 is an apocalyptic number.

714420 is a gapful number since it is divisible by the number (70) 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 714420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308321).

714420 is an abundant number, since it is smaller than the sum of its proper divisors (1902222).

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

714420 is a wasteful number, since it uses less digits than its factorization.

714420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 714420 is about 845.2336954949. The cubic root of 714420 is about 89.3959549541.

Adding to 714420 its reverse (24417), we get a palindrome (738837).

The spelling of 714420 in words is "seven hundred fourteen thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 81 84 90 98 105 108 126 135 140 147 162 180 189 196 210 243 245 252 270 294 315 324 378 405 420 441 486 490 540 567 588 630 729 735 756 810 882 945 972 980 1134 1215 1260 1323 1458 1470 1620 1701 1764 1890 2205 2268 2430 2646 2835 2916 2940 3402 3645 3780 3969 4410 4860 5103 5292 5670 6615 6804 7290 7938 8505 8820 10206 11340 11907 13230 14580 15876 17010 19845 20412 23814 25515 26460 34020 35721 39690 47628 51030 59535 71442 79380 102060 119070 142884 178605 238140 357210 714420