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16126968 = 233111337127
BaseRepresentation
bin111101100001…
…001111111000
31010100100001010
4331201033320
513112030333
61333353520
7254035254
oct75411770
933310033
1016126968
119115480
1254988a0
1334585b0
1421db264
151638563
hexf613f8

16126968 has 128 divisors (see below), whose sum is σ = 49029120. Its totient is φ = 4354560.

The previous prime is 16126961. The next prime is 16126993. The reversal of 16126968 is 86962161.

It is a super-3 number, since 3×161269683 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16126961) 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, 126921 + ... + 127047.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 216126968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16126968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24514560).

16126968 is an abundant number, since it is smaller than the sum of its proper divisors (32902152).

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

16126968 is a wasteful number, since it uses less digits than its factorization.

16126968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 16126968 is about 4015.8396382326. The cubic root of 16126968 is about 252.6489948337.

The spelling of 16126968 in words is "sixteen million, one hundred twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 37 39 44 52 66 74 78 88 104 111 127 132 143 148 156 222 254 264 286 296 312 381 407 429 444 481 508 572 762 814 858 888 962 1016 1144 1221 1397 1443 1524 1628 1651 1716 1924 2442 2794 2886 3048 3256 3302 3432 3848 4191 4699 4884 4953 5291 5588 5772 6604 8382 9398 9768 9906 10582 11176 11544 13208 14097 15873 16764 18161 18796 19812 21164 28194 31746 33528 36322 37592 39624 42328 51689 54483 56388 61087 63492 72644 103378 108966 112776 122174 126984 145288 155067 183261 206756 217932 244348 310134 366522 413512 435864 488696 620268 671957 733044 1240536 1343914 1466088 2015871 2687828 4031742 5375656 8063484 16126968