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16413012 = 223271131191
BaseRepresentation
bin111110100111…
…000101010100
31010212212102100
4332213011110
513200204022
61343442100
7256336230
oct76470524
933785370
1016413012
1192a0380
1255b6330
133528855
1422735c0
1516931ac
hexfa7154

16413012 has 144 divisors (see below), whose sum is σ = 53673984. Its totient is φ = 4104000.

The previous prime is 16412993. The next prime is 16413013. The reversal of 16413012 is 21031461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16413013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 85837 + ... + 86027.

It is an arithmetic number, because the mean of its divisors is an integer number (372736).

Almost surely, 216413012 is an apocalyptic number.

16413012 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 16413012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26836992).

16413012 is an abundant number, since it is smaller than the sum of its proper divisors (37260972).

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

16413012 is a wasteful number, since it uses less digits than its factorization.

16413012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 16413012 is about 4051.2975699151. The cubic root of 16413012 is about 254.1339942355.

Adding to 16413012 its reverse (21031461), we get a palindrome (37444473).

The spelling of 16413012 in words is "sixteen million, four hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 191 198 217 231 252 279 308 341 372 382 396 434 462 558 573 651 682 693 764 868 924 1023 1116 1146 1302 1337 1364 1386 1719 1953 2046 2101 2292 2387 2604 2674 2772 3069 3438 3906 4011 4092 4202 4774 5348 5921 6138 6303 6876 7161 7812 8022 8404 9548 11842 12033 12276 12606 14322 14707 16044 17763 18909 21483 23684 24066 25212 28644 29414 35526 37818 41447 42966 44121 48132 53289 58828 65131 71052 75636 82894 85932 88242 106578 124341 130262 132363 165788 176484 195393 213156 248682 260524 264726 373023 390786 455917 497364 529452 586179 746046 781572 911834 1172358 1367751 1492092 1823668 2344716 2735502 4103253 5471004 8206506 16413012