Search a number
-
+
714538080 = 253253713411
BaseRepresentation
bin101010100101101…
…111110001100000
31211210112021222100
4222211233301200
52430410204310
6154523010400
723464321254
oct5245576140
91753467870
10714538080
1133737a043
1217b369a00
13b505c6c9
146ac80264
1542ae4ec0
hex2a96fc60

714538080 has 144 divisors (see below), whose sum is σ = 2504449584. Its totient is φ = 185379840.

The previous prime is 714538001. The next prime is 714538081. The reversal of 714538080 is 80835417.

714538080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714538081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46575 + ... + 59985.

It is an arithmetic number, because the mean of its divisors is an integer number (17392011).

Almost surely, 2714538080 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 714538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252224792).

714538080 is an abundant number, since it is smaller than the sum of its proper divisors (1789911504).

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

714538080 is a wasteful number, since it uses less digits than its factorization.

714538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 714538080 is about 26730.8451044856. The cubic root of 714538080 is about 894.0087983159.

The spelling of 714538080 in words is "seven hundred fourteen million, five hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 13411 17760 26640 26822 40233 53280 53644 67055 80466 107288 120699 134110 160932 201165 214576 241398 268220 321864 402330 429152 482796 496207 536440 603495 643728 804660 965592 992414 1072880 1206990 1287456 1488621 1609320 1931184 1984828 2145760 2413980 2481035 2977242 3218640 3862368 3969656 4465863 4827960 4962070 5954484 6437280 7443105 7939312 8931726 9655920 9924140 11908968 14886210 15878624 17863452 19311840 19848280 22329315 23817936 29772420 35726904 39696560 44658630 47635872 59544840 71453808 79393120 89317260 119089680 142907616 178634520 238179360 357269040 714538080