Search a number
-
+
16742712 = 2337223619
BaseRepresentation
bin111111110111…
…100100111000
31011111121200110
4333313210320
513241231322
61354504320
7262211400
oct77674470
934447613
1016742712
1194a6058
1257350a0
13361293c
14231b800
15170ac0c
hexff7938

16742712 has 96 divisors (see below), whose sum is σ = 50889600. Its totient is φ = 4568256.

The previous prime is 16742701. The next prime is 16742771. The reversal of 16742712 is 21724761.

It is a super-2 number, since 2×167427122 = 560636810229888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16742712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26739 + ... + 27357.

It is an arithmetic number, because the mean of its divisors is an integer number (530100).

Almost surely, 216742712 is an apocalyptic number.

16742712 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 16742712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444800).

16742712 is an abundant number, since it is smaller than the sum of its proper divisors (34146888).

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

16742712 is a wasteful number, since it uses less digits than its factorization.

16742712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 16742712 is about 4091.7859181536. The cubic root of 16742712 is about 255.8243831345.

The spelling of 16742712 in words is "sixteen million, seven hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 84 92 98 138 147 161 168 184 196 276 294 322 392 483 552 588 619 644 966 1127 1176 1238 1288 1857 1932 2254 2476 3381 3714 3864 4333 4508 4952 6762 7428 8666 9016 12999 13524 14237 14856 17332 25998 27048 28474 30331 34664 42711 51996 56948 60662 85422 90993 99659 103992 113896 121324 170844 181986 199318 242648 298977 341688 363972 398636 597954 697613 727944 797272 1195908 1395226 2092839 2391816 2790452 4185678 5580904 8371356 16742712