Search a number
-
+
714383680 = 26523293347
BaseRepresentation
bin101010100101001…
…010000101000000
31211210020110011211
4222211022011000
52430340234210
6154515415504
723463106153
oct5245120500
91753213154
10714383680
1133728403a
1217b2b4594
13b500734a
146ac3dc9a
1542ab438a
hex2a94a140

714383680 has 112 divisors (see below), whose sum is σ = 1836846720. Its totient is φ = 263825408.

The previous prime is 714383669. The next prime is 714383693. The reversal of 714383680 is 86383417.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 211767 + ... + 215113.

Almost surely, 2714383680 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 714383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918423360).

714383680 is an abundant number, since it is smaller than the sum of its proper divisors (1122463040).

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

714383680 is a wasteful number, since it uses less digits than its factorization.

714383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 714383680 is about 26727.9568990972. The cubic root of 714383680 is about 893.9444001143.

The spelling of 714383680 in words is "seven hundred fourteen million, three hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 64 80 92 115 116 145 160 184 230 232 290 320 368 460 464 580 667 736 920 928 1160 1334 1472 1840 1856 2320 2668 3335 3347 3680 4640 5336 6670 6694 7360 9280 10672 13340 13388 16735 21344 26680 26776 33470 42688 53360 53552 66940 76981 97063 106720 107104 133880 153962 194126 213440 214208 267760 307924 384905 388252 485315 535520 615848 769810 776504 970630 1071040 1231696 1539620 1553008 1941260 2232449 2463392 3079240 3106016 3882520 4464898 4926784 6158480 6212032 7765040 8929796 11162245 12316960 15530080 17859592 22324490 24633920 31060160 35719184 44648980 71438368 89297960 142876736 178595920 357191840 714383680