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2027896 = 2313173137
BaseRepresentation
bin111101111000101111000
310211000202021
413233011320
51004343041
6111244224
723144143
oct7570570
93730667
102027896
111165652
12819674
13560050
143ab05a
152a0cd1
hex1ef178

2027896 has 64 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 829440.

The previous prime is 2027873. The next prime is 2027897. The reversal of 2027896 is 6987202.

It is a super-2 number, since 2×20278962 = 8224724373632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54790 + ... + 54826.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

22027896 is an apocalyptic number.

2027896 is a gapful number since it is divisible by the number (26) 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 2027896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

2027896 is an abundant number, since it is smaller than the sum of its proper divisors (2568584).

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

2027896 is a wasteful number, since it uses less digits than its factorization.

2027896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2027896 is about 1424.0421342081. The cubic root of 2027896 is about 126.5751817095.

The spelling of 2027896 in words is "two million, twenty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 17 26 31 34 37 52 62 68 74 104 124 136 148 221 248 296 403 442 481 527 629 806 884 962 1054 1147 1258 1612 1768 1924 2108 2294 2516 3224 3848 4216 4588 5032 6851 8177 9176 13702 14911 16354 19499 27404 29822 32708 38998 54808 59644 65416 77996 119288 155992 253487 506974 1013948 2027896