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28002114 = 23273167107
BaseRepresentation
bin110101011010…
…0011101000010
31221200122200100
41222310131002
524132031424
62440103230
7460004550
oct152643502
957618610
1028002114
1114896448
129464b16
135a557ca
143a0cbd0
1526d1dc9
hex1ab4742

28002114 has 96 divisors (see below), whose sum is σ = 73322496. Its totient is φ = 7555680.

The previous prime is 28002113. The next prime is 28002119. The reversal of 28002114 is 41120082.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (28002113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261649 + ... + 261755.

It is an arithmetic number, because the mean of its divisors is an integer number (763776).

Almost surely, 228002114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28002114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36661248).

28002114 is an abundant number, since it is smaller than the sum of its proper divisors (45320382).

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

28002114 is a wasteful number, since it uses less digits than its factorization.

28002114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 28002114 is about 5291.7023725829. The cubic root of 28002114 is about 303.6665390775. Note that the first 3 decimals are identical.

Adding to 28002114 its reverse (41120082), we get a palindrome (69122196).

The spelling of 28002114 in words is "twenty-eight million, two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 67 93 107 126 134 186 201 214 217 279 321 402 434 469 558 603 642 651 749 938 963 1206 1302 1407 1498 1926 1953 2077 2247 2814 3317 3906 4154 4221 4494 6231 6634 6741 7169 8442 9951 12462 13482 14338 14539 18693 19902 21507 23219 29078 29853 37386 43014 43617 46438 50183 59706 64521 69657 87234 100366 129042 130851 139314 150549 208971 222239 261702 301098 417942 444478 451647 666717 903294 1333434 1555673 2000151 3111346 4000302 4667019 9334038 14001057 28002114