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26220096 = 263272929
BaseRepresentation
bin110010000000…
…1011001000000
31211100010012200
41210001121000
523203020341
62333553200
7435603300
oct144013100
954303180
1026220096
1113889601
128945800
135580666
1436a7600
15247ddb6
hex1901640

26220096 has 126 divisors (see below), whose sum is σ = 87519510. Its totient is φ = 7483392.

The previous prime is 26220091. The next prime is 26220097. The reversal of 26220096 is 69002262.

It can be written as a sum of positive squares in only one way, i.e., 14930496 + 11289600 = 3864^2 + 3360^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is not an unprimeable number, because it can be changed into a prime (26220091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27760 + ... + 28688.

Almost surely, 226220096 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 26220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43759755).

26220096 is an abundant number, since it is smaller than the sum of its proper divisors (61299414).

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

26220096 is a wasteful number, since it uses less digits than its factorization.

26220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 26220096 is about 5120.5562197871. The cubic root of 26220096 is about 297.0831994913.

The spelling of 26220096 in words is "twenty-six million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 929 1008 1176 1344 1568 1764 1858 2016 2352 2787 3136 3528 3716 4032 4704 5574 6503 7056 7432 8361 9408 11148 13006 14112 14864 16722 19509 22296 26012 28224 29728 33444 39018 44592 45521 52024 58527 59456 66888 78036 89184 91042 104048 117054 133776 136563 156072 178368 182084 208096 234108 267552 273126 312144 364168 409689 416192 468216 535104 546252 624288 728336 819378 936432 1092504 1248576 1456672 1638756 1872864 2185008 2913344 3277512 3745728 4370016 6555024 8740032 13110048 26220096