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4270896 = 2432719223
BaseRepresentation
bin10000010010101100110000
322000222120100
4100102230300
52043132041
6231312400
751205410
oct20225460
98028510
104270896
112457873
12151b700
13b66c76
147d2640
155956b6
hex412b30

4270896 has 120 divisors (see below), whose sum is σ = 14443520. Its totient is φ = 1150848.

The previous prime is 4270891. The next prime is 4270907. The reversal of 4270896 is 6980724.

4270896 = T184 + T185 + ... + T316.

4270896 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 (36).

It is a d-powerful number, because it can be written as 411 + 29 + 75 + 0 + 8 + 95 + 63 .

It is a self number, because there is not a number n which added to its sum of digits gives 4270896.

It is not an unprimeable number, because it can be changed into a prime (4270891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19041 + ... + 19263.

Almost surely, 24270896 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 4270896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221760).

4270896 is an abundant number, since it is smaller than the sum of its proper divisors (10172624).

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

4270896 is a wasteful number, since it uses less digits than its factorization.

4270896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4270896 is about 2066.6146230006. The cubic root of 4270896 is about 162.2456264753.

The spelling of 4270896 in words is "four million, two hundred seventy thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 223 228 252 266 304 336 342 399 446 456 504 532 669 684 798 892 912 1008 1064 1197 1338 1368 1561 1596 1784 2007 2128 2394 2676 2736 3122 3192 3568 4014 4237 4683 4788 5352 6244 6384 8028 8474 9366 9576 10704 12488 12711 14049 16056 16948 18732 19152 24976 25422 28098 29659 32112 33896 37464 38133 50844 56196 59318 67792 74928 76266 88977 101688 112392 118636 152532 177954 203376 224784 237272 266931 305064 355908 474544 533862 610128 711816 1067724 1423632 2135448 4270896