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2076864 = 26329373
BaseRepresentation
bin111111011000011000000
310220111220220
413323003000
51012424424
6112303040
723436666
oct7730300
93814826
102076864
111199419
12841a80
1357941a
143c0c36
152b0579
hex1fb0c0

2076864 has 56 divisors (see below), whose sum is σ = 5699760. Its totient is φ = 666624.

The previous prime is 2076829. The next prime is 2076869. The reversal of 2076864 is 4686702.

It is not an unprimeable number, because it can be changed into a prime (2076869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5382 + ... + 5754.

22076864 is an apocalyptic number.

2076864 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 2076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849880).

2076864 is an abundant number, since it is smaller than the sum of its proper divisors (3622896).

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

2076864 is a wasteful number, since it uses less digits than its factorization.

2076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2076864 is about 1441.1328876963. The cubic root of 2076864 is about 127.5859013586.

It can be divided in two parts, 207686 and 4, that added together give a triangular number (207690 = T644).

The spelling of 2076864 in words is "two million, seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 373 464 696 746 928 1119 1392 1492 1856 2238 2784 2984 4476 5568 5968 8952 10817 11936 17904 21634 23872 32451 35808 43268 64902 71616 86536 129804 173072 259608 346144 519216 692288 1038432 2076864