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1679616 = 2838
BaseRepresentation
bin110011010000100000000
310011100000000
412122010000
5412221431
6100000000
720163561
oct6320400
93140000
101679616
11a47a14
12690000
1346a673
1431a168
152329e6
hex19a100

1679616 has 81 divisors (see below), whose sum is σ = 5028751. Its totient is φ = 559872.

The previous prime is 1679609. The next prime is 1679627. The reversal of 1679616 is 6169761.

Multipling 1679616 by its sum of digits (36), we get a 10-th power (60466176 = 610).

1679616 divided by its sum of digits (36) gives a 6-th power (46656 = 66).

The square root of 1679616 is 1296.

It is a perfect power (a square, a biquadrate, a 8-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (3!)8.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×16796162 = 5642219814912, which contains 22 as substring.

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

It is a Duffinian number.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 559871 + 559872 + 559873.

21679616 is an apocalyptic number.

1679616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1679616 is the 1296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1679616

1679616 is an abundant number, since it is smaller than the sum of its proper divisors (3349135).

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

1679616 is an frugal number, since it uses more digits than its factorization.

1679616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 5 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The cubic root of 1679616 is about 118.8693809602.

The spelling of 1679616 in words is "one million, six hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3888 4374 5184 5832 6561 6912 7776 8748 10368 11664 13122 15552 17496 20736 23328 26244 31104 34992 46656 52488 62208 69984 93312 104976 139968 186624 209952 279936 419904 559872 839808 1679616