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1664096 = 257171923
BaseRepresentation
bin110010110010001100000
310010112201012
412112101200
5411222341
655400052
720100410
oct6262140
93115635
101664096
11a37295
12683028
13463595
14314640
1522d0eb
hex196460

1664096 has 96 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 608256.

The previous prime is 1664083. The next prime is 1664101. The reversal of 1664096 is 6904661.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72341 + ... + 72363.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

21664096 is an apocalyptic number.

1664096 is a gapful number since it is divisible by the number (16) 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 1664096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

1664096 is an abundant number, since it is smaller than the sum of its proper divisors (2690464).

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

1664096 is a wasteful number, since it uses less digits than its factorization.

1664096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1664096 is about 1289.9984496115. The cubic root of 1664096 is about 118.5021215356.

1664096 divided by its sum of digits (32) gives a triangular number (52003 = T322).

The spelling of 1664096 in words is "one million, six hundred sixty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 19 23 28 32 34 38 46 56 68 76 92 112 119 133 136 152 161 184 224 238 266 272 304 322 323 368 391 437 476 532 544 608 644 646 736 782 874 952 1064 1288 1292 1564 1748 1904 2128 2261 2576 2584 2737 3059 3128 3496 3808 4256 4522 5152 5168 5474 6118 6256 6992 7429 9044 10336 10948 12236 12512 13984 14858 18088 21896 24472 29716 36176 43792 48944 52003 59432 72352 87584 97888 104006 118864 208012 237728 416024 832048 1664096