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1399111680 = 214355693
BaseRepresentation
bin101001101100100…
…1100000000000000
310121111200020102010
41103121030000000
510331133033210
6350455452520
746446152541
oct12331140000
93544606363
101399111680
1165884234a
12330687140
13193b2a345
14d3b604c8
1582c6b920
hex5364c000

1399111680 has 120 divisors (see below), whose sum is σ = 4477807152. Its totient is φ = 373030912.

The previous prime is 1399111667. The next prime is 1399111687. The reversal of 1399111680 is 861119931.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13991116802 = 3915026986224844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1399111687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242914 + ... + 248606.

Almost surely, 21399111680 is an apocalyptic number.

1399111680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1399111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238903576).

1399111680 is an abundant number, since it is smaller than the sum of its proper divisors (3078695472).

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

1399111680 is an frugal number, since it uses more digits than its factorization.

1399111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 1399111680 is about 37404.7013087927. The cubic root of 1399111680 is about 1118.4522839817.

The spelling of 1399111680 in words is "one billion, three hundred ninety-nine million, one hundred eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 5693 6144 7680 8192 10240 11386 12288 15360 16384 17079 20480 22772 24576 28465 30720 34158 40960 45544 49152 56930 61440 68316 81920 85395 91088 113860 122880 136632 170790 182176 227720 245760 273264 341580 364352 455440 546528 683160 728704 910880 1093056 1366320 1457408 1821760 2186112 2732640 2914816 3643520 4372224 5465280 5829632 7287040 8744448 10930560 11659264 14574080 17488896 21861120 23318528 29148160 34977792 43722240 46637056 58296320 69955584 87444480 93274112 116592640 139911168 174888960 233185280 279822336 349777920 466370560 699555840 1399111680