Search a number
-
+
714912 = 25311677
BaseRepresentation
bin10101110100010100000
31100022200020
42232202200
5140334122
623153440
76035202
oct2564240
91308606
10714912
11449140
122a5880
131c0533
14148772
15e1c5c
hexae8a0

714912 has 48 divisors (see below), whose sum is σ = 2050272. Its totient is φ = 216320.

The previous prime is 714911. The next prime is 714919. The reversal of 714912 is 219417.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×7149122 = 1022198335488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (714911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 718 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (42714).

2714912 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 714912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025136).

714912 is an abundant number, since it is smaller than the sum of its proper divisors (1335360).

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

714912 is a wasteful number, since it uses less digits than its factorization.

714912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 693 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 714912 is about 845.5246891724. The cubic root of 714912 is about 89.4164716983.

The spelling of 714912 in words is "seven hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 677 1056 1354 2031 2708 4062 5416 7447 8124 10832 14894 16248 21664 22341 29788 32496 44682 59576 64992 89364 119152 178728 238304 357456 714912