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1399680 = 27375
BaseRepresentation
bin101010101101110000000
32122010000000
411111232000
5324242210
650000000
714616462
oct5255600
92563000
101399680
11876667
12576000
133a0119
14286132
151c9ac0
hex155b80

1399680 has 128 divisors (see below), whose sum is σ = 5018400. Its totient is φ = 373248.

The previous prime is 1399679. The next prime is 1399687. The reversal of 1399680 is 869931.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279934 + ... + 279938.

21399680 is an apocalyptic number.

1399680 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 1399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509200).

1399680 is an abundant number, since it is smaller than the sum of its proper divisors (3618720).

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

1399680 is an frugal number, since it uses more digits than its factorization.

1399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1399680 is about 1183.0807242112. The cubic root of 1399680 is about 111.8603702143.

Adding to 1399680 its product of nonzero digits (11664), we get a square (1411344 = 11882).

1399680 divided by its product of nonzero digits (11664) gives a triangular number (120 = T15).

The spelling of 1399680 in words is "one million, three hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 243 270 288 320 324 360 384 405 432 480 486 540 576 640 648 720 729 810 864 960 972 1080 1152 1215 1296 1440 1458 1620 1728 1920 1944 2160 2187 2430 2592 2880 2916 3240 3456 3645 3888 4320 4374 4860 5184 5760 5832 6480 7290 7776 8640 8748 9720 10368 10935 11664 12960 14580 15552 17280 17496 19440 21870 23328 25920 29160 31104 34992 38880 43740 46656 51840 58320 69984 77760 87480 93312 116640 139968 155520 174960 233280 279936 349920 466560 699840 1399680