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16034772 = 223132341109
BaseRepresentation
bin111101001010…
…101111010100
31010011122120110
4331022233110
513101103042
61331403020
7253202415
oct75125724
933148513
1016034772
119062186
125453470
133425640
1421b580c
15161b09c
hexf4abd4

16034772 has 96 divisors (see below), whose sum is σ = 43464960. Its totient is φ = 4561920.

The previous prime is 16034761. The next prime is 16034773. The reversal of 16034772 is 27743061.

It is a super-3 number, since 3×160347723 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16034773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147054 + ... + 147162.

It is an arithmetic number, because the mean of its divisors is an integer number (452760).

Almost surely, 216034772 is an apocalyptic number.

16034772 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 16034772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21732480).

16034772 is an abundant number, since it is smaller than the sum of its proper divisors (27430188).

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

16034772 is a wasteful number, since it uses less digits than its factorization.

16034772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 16034772 is about 4004.3441410548. The cubic root of 16034772 is about 252.1666194637.

The spelling of 16034772 in words is "sixteen million, thirty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 41 46 52 69 78 82 92 109 123 138 156 164 218 246 276 299 327 436 492 533 598 654 897 943 1066 1196 1308 1417 1599 1794 1886 2132 2507 2829 2834 3198 3588 3772 4251 4469 5014 5658 5668 6396 7521 8502 8938 10028 11316 12259 13407 15042 17004 17876 24518 26814 30084 32591 36777 49036 53628 58097 65182 73554 97773 102787 116194 130364 147108 174291 195546 205574 232388 308361 348582 391092 411148 616722 697164 1233444 1336231 2672462 4008693 5344924 8017386 16034772