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16680492 = 22351312
BaseRepresentation
bin111111101000…
…011000101100
31011101110100000
4333220120230
513232233432
61353304300
7261532113
oct77503054
934343300
1016680492
119463334
125705090
1335c051a
142302c7a
1516e757c
hexfe862c

16680492 has 54 divisors (see below), whose sum is σ = 44062564. Its totient is φ = 5517720.

The previous prime is 16680467. The next prime is 16680509. The reversal of 16680492 is 29408661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

16680492 is a `hidden beast` number, since 166 + 8 + 0 + 492 = 666.

It is a tau number, because it is divible by the number of its divisors (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 127267 + ... + 127397.

Almost surely, 216680492 is an apocalyptic number.

16680492 is a gapful number since it is divisible by the number (12) 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 16680492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22031282).

16680492 is an abundant number, since it is smaller than the sum of its proper divisors (27382072).

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

16680492 is an equidigital number, since it uses as much as digits as its factorization.

16680492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16680492 is about 4084.1758042474. The cubic root of 16680492 is about 255.5070878328.

It can be divided in two parts, 1668049 and 2, that added together give a triangular number (1668051 = T1826).

The spelling of 16680492 in words is "sixteen million, six hundred eighty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 162 243 262 324 393 486 524 786 972 1179 1572 2358 3537 4716 7074 10611 14148 17161 21222 31833 34322 42444 51483 63666 68644 102966 127332 154449 205932 308898 463347 617796 926694 1390041 1853388 2780082 4170123 5560164 8340246 16680492