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2604096 = 263311137
BaseRepresentation
bin1001111011110001000000
311220022011000
421323301000
51131312341
6131452000
731064055
oct11736100
94808130
102604096
111519550
12a57000
137023b1
144bb02c
153668b6
hex27bc40

2604096 has 112 divisors (see below), whose sum is σ = 8412480. Its totient is φ = 783360.

The previous prime is 2604079. The next prime is 2604101. The reversal of 2604096 is 6904062.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18940 + ... + 19076.

22604096 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 2604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206240).

2604096 is an abundant number, since it is smaller than the sum of its proper divisors (5808384).

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

2604096 is a wasteful number, since it uses less digits than its factorization.

2604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

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

The square root of 2604096 is about 1613.7211655054. The cubic root of 2604096 is about 137.5790575663.

It can be divided in two parts, 260 and 4096, that added together give a square (4356 = 662).

The spelling of 2604096 in words is "two million, six hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 137 144 176 192 198 216 264 274 288 297 352 396 411 432 528 548 576 594 704 792 822 864 1056 1096 1188 1233 1507 1584 1644 1728 2112 2192 2376 2466 3014 3168 3288 3699 4384 4521 4752 4932 6028 6336 6576 7398 8768 9042 9504 9864 12056 13152 13563 14796 18084 19008 19728 24112 26304 27126 29592 36168 39456 40689 48224 54252 59184 72336 78912 81378 96448 108504 118368 144672 162756 217008 236736 289344 325512 434016 651024 868032 1302048 2604096