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16692642 = 2361072
BaseRepresentation
bin111111101011…
…010110100010
31011102002000000
4333223112202
513233131032
61353440430
7261612411
oct77532642
934362000
1016692642
11947147a
125710116
1335c5c05
142307478
1516eae7c
hexfeb5a2

16692642 has 42 divisors (see below), whose sum is σ = 37895403. Its totient is φ = 5512212.

The previous prime is 16692631. The next prime is 16692653. The reversal of 16692642 is 24629661.

16692642 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 2 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (16692631) and next prime (16692653).

It can be written as a sum of positive squares in only one way, i.e., 8346321 + 8346321 = 2889^2 + 2889^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2889.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16692597 and 16692606.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 155953 + ... + 156059.

Almost surely, 216692642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16692642

16692642 is an abundant number, since it is smaller than the sum of its proper divisors (21202761).

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

16692642 is an frugal number, since it uses more digits than its factorization.

16692642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 112 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 16692642 is about 4085.6629816959. The cubic root of 16692642 is about 255.5691095381.

The spelling of 16692642 in words is "sixteen million, six hundred ninety-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 243 321 486 642 729 963 1458 1926 2889 5778 8667 11449 17334 22898 26001 34347 52002 68694 78003 103041 156006 206082 309123 618246 927369 1854738 2782107 5564214 8346321 16692642