Search a number
-
+
2104704 = 2734729
BaseRepresentation
bin1000000001110110000000
310221221010000
420001312000
51014322304
6113040000
723614110
oct10016600
93857100
102104704
111208328
12856000
13588cb4
143cb040
152b8939
hex201d80

2104704 has 160 divisors (see below), whose sum is σ = 7405200. Its totient is φ = 580608.

The previous prime is 2104703. The next prime is 2104717. The reversal of 2104704 is 4074012.

It is a happy number.

2104704 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (2104703) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72562 + ... + 72590.

22104704 is an apocalyptic number.

2104704 is a gapful number since it is divisible by the number (24) 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 2104704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702600).

2104704 is an abundant number, since it is smaller than the sum of its proper divisors (5300496).

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

2104704 is an equidigital number, since it uses as much as digits as its factorization.

2104704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2104704 is about 1450.7598009319. The cubic root of 2104704 is about 128.1534617714.

Adding to 2104704 its reverse (4074012), we get a palindrome (6178716).

The spelling of 2104704 in words is "two million, one hundred four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 48 54 56 58 63 64 72 81 84 87 96 108 112 116 126 128 144 162 168 174 189 192 203 216 224 232 252 261 288 324 336 348 378 384 406 432 448 464 504 522 567 576 609 648 672 696 756 783 812 864 896 928 1008 1044 1134 1152 1218 1296 1344 1392 1512 1566 1624 1728 1827 1856 2016 2088 2268 2349 2436 2592 2688 2784 3024 3132 3248 3456 3654 3712 4032 4176 4536 4698 4872 5184 5481 5568 6048 6264 6496 7308 8064 8352 9072 9396 9744 10368 10962 11136 12096 12528 12992 14616 16443 16704 18144 18792 19488 21924 24192 25056 25984 29232 32886 33408 36288 37584 38976 43848 50112 58464 65772 72576 75168 77952 87696 100224 116928 131544 150336 175392 233856 263088 300672 350784 526176 701568 1052352 2104704