Search a number
-
+
714670080 = 21635727
BaseRepresentation
bin101010100110010…
…000000000000000
31211210210000001020
4222212100000000
52430423420310
6154525505440
723465411145
oct5246200000
91753700036
10714670080
1133745a233
1217b412280
13b50a7807
146acb63cc
1542b1e170
hex2a990000

714670080 has 136 divisors (see below), whose sum is σ = 2290072512. Its totient is φ = 190316544.

The previous prime is 714670079. The next prime is 714670087. The reversal of 714670080 is 80076417.

It is not an unprimeable number, because it can be changed into a prime (714670087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982677 + ... + 983403.

Almost surely, 2714670080 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 714670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145036256).

714670080 is an abundant number, since it is smaller than the sum of its proper divisors (1575402432).

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

714670080 is an frugal number, since it uses more digits than its factorization.

714670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 714670080 is about 26733.3140482058. The cubic root of 714670080 is about 894.0638464179.

The spelling of 714670080 in words is "seven hundred fourteen million, six hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 727 768 960 1024 1280 1454 1536 1920 2048 2181 2560 2908 3072 3635 3840 4096 4362 5120 5816 6144 7270 7680 8192 8724 10240 10905 11632 12288 14540 15360 16384 17448 20480 21810 23264 24576 29080 30720 32768 34896 40960 43620 46528 49152 58160 61440 65536 69792 81920 87240 93056 98304 116320 122880 139584 163840 174480 186112 196608 232640 245760 279168 327680 348960 372224 465280 491520 558336 697920 744448 930560 983040 1116672 1395840 1488896 1861120 2233344 2791680 2977792 3722240 4466688 5583360 5955584 7444480 8933376 11166720 11911168 14888960 17866752 22333440 23822336 29777920 35733504 44666880 47644672 59555840 71467008 89333760 119111680 142934016 178667520 238223360 357335040 714670080