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2171136 = 28311257
BaseRepresentation
bin1000010010000100000000
311002022020110
420102010000
51023434021
6114311320
724311562
oct10220400
94068213
102171136
111253230
12888540
135b02c6
14407332
152cd476
hex212100

2171136 has 72 divisors (see below), whose sum is σ = 6328224. Its totient is φ = 655360.

The previous prime is 2171119. The next prime is 2171159. The reversal of 2171136 is 6311712.

2171136 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8320 + ... + 8576.

It is an arithmetic number, because the mean of its divisors is an integer number (87892).

22171136 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 2171136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164112).

2171136 is an abundant number, since it is smaller than the sum of its proper divisors (4157088).

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

2171136 is a wasteful number, since it uses less digits than its factorization.

2171136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 2171136 is about 1473.4775193399. The cubic root of 2171136 is about 129.4878468840.

Adding to 2171136 its reverse (6311712), we get a palindrome (8482848).

It can be divided in two parts, 21 and 71136, that multiplied together give a triangular number (1493856 = T1728).

The spelling of 2171136 in words is "two million, one hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 257 264 352 384 514 528 704 768 771 1028 1056 1408 1542 2056 2112 2816 2827 3084 4112 4224 5654 6168 8224 8448 8481 11308 12336 16448 16962 22616 24672 32896 33924 45232 49344 65792 67848 90464 98688 135696 180928 197376 271392 361856 542784 723712 1085568 2171136