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16679052 = 223213157227
BaseRepresentation
bin111111101000…
…000010001100
31011101101100200
4333220002030
513232212202
61353253500
7261524655
oct77500214
934341320
1016679052
119462245
125704290
1335bc980
14230252c
1516e6e1c
hexfe808c

16679052 has 72 divisors (see below), whose sum is σ = 45894576. Its totient is φ = 5076864.

The previous prime is 16679029. The next prime is 16679077. The reversal of 16679052 is 25097661.

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

It is a junction number, because it is equal to n+sod(n) for n = 16678998 and 16679016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73363 + ... + 73589.

Almost surely, 216679052 is an apocalyptic number.

16679052 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 16679052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22947288).

16679052 is an abundant number, since it is smaller than the sum of its proper divisors (29215524).

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

16679052 is a wasteful number, since it uses less digits than its factorization.

16679052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 16679052 is about 4083.9995102840. Note that the first 3 decimals coincide. The cubic root of 16679052 is about 255.4997351161.

The spelling of 16679052 in words is "sixteen million, six hundred seventy-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 157 227 234 314 454 468 471 628 681 908 942 1362 1413 1884 2041 2043 2724 2826 2951 4082 4086 5652 5902 6123 8164 8172 8853 11804 12246 17706 18369 24492 26559 35412 35639 36738 53118 71278 73476 106236 106917 142556 213834 320751 427668 463307 641502 926614 1283004 1389921 1853228 2779842 4169763 5559684 8339526 16679052