Search a number
-
+
714867168 = 25329461557
BaseRepresentation
bin101010100111000…
…000000111100000
31211211011000101210
4222213000013200
52431001222133
6154534030120
723500161561
oct5247000740
91754130353
10714867168
11337584314
1217b4a8340
13b5146432
146ad28168
1542b5c763
hex2a9c01e0

714867168 has 96 divisors (see below), whose sum is σ = 1948937760. Its totient is φ = 229160960.

The previous prime is 714867089. The next prime is 714867199. The reversal of 714867168 is 861768417.

It is a Cunningham number, because it is equal to 267372-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7148671682 = 1022070135768680448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 1283146 + ... + 1283702.

It is an arithmetic number, because the mean of its divisors is an integer number (20301435).

Almost surely, 2714867168 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 714867168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974468880).

714867168 is an abundant number, since it is smaller than the sum of its proper divisors (1234070592).

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

714867168 is a wasteful number, since it uses less digits than its factorization.

714867168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 714867168 is about 26736.9999812993. Note that the first 4 decimals coincide. The cubic root of 714867168 is about 894.1460256242.

The spelling of 714867168 in words is "seven hundred fourteen million, eight hundred sixty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 461 464 557 696 922 928 1114 1383 1392 1671 1844 2228 2766 2784 3342 3688 4456 5532 6684 7376 8912 11064 13368 13369 14752 16153 17824 22128 26736 26738 32306 40107 44256 48459 53472 53476 64612 80214 96918 106952 129224 160428 193836 213904 256777 258448 320856 387672 427808 513554 516896 641712 770331 775344 1027108 1283424 1540662 1550688 2054216 3081324 4108432 6162648 7446533 8216864 12325296 14893066 22339599 24650592 29786132 44679198 59572264 89358396 119144528 178716792 238289056 357433584 714867168