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714960 = 24335331
BaseRepresentation
bin10101110100011010000
31100022202000
42232203100
5140334320
623154000
76035301
oct2564320
91308660
10714960
11449184
122a5900
131c056c
141487a8
15e1c90
hexae8d0

714960 has 80 divisors (see below), whose sum is σ = 2470080. Its totient is φ = 190080.

The previous prime is 714949. The next prime is 714971. The reversal of 714960 is 69417.

It is an interprime number because it is at equal distance from previous prime (714949) and next prime (714971).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7149602 = 1022335603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1995 + ... + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (30876).

2714960 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 714960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235040).

714960 is an abundant number, since it is smaller than the sum of its proper divisors (1755120).

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

714960 is a wasteful number, since it uses less digits than its factorization.

714960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 714960 is about 845.5530734377. The cubic root of 714960 is about 89.4184728279.

The spelling of 714960 in words is "seven hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 331 360 432 540 662 720 993 1080 1324 1655 1986 2160 2648 2979 3310 3972 4965 5296 5958 6620 7944 8937 9930 11916 13240 14895 15888 17874 19860 23832 26480 29790 35748 39720 44685 47664 59580 71496 79440 89370 119160 142992 178740 238320 357480 714960