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2076672 = 2123132
BaseRepresentation
bin111111011000000000000
310220111122210
413323000000
51012423142
6112302120
723436303
oct7730000
93814583
102076672
111199264
12841940
13579300
143c0b3a
152b049c
hex1fb000

2076672 has 78 divisors (see below), whose sum is σ = 5995812. Its totient is φ = 638976.

The previous prime is 2076653. The next prime is 2076677. The reversal of 2076672 is 2766702.

It is a tau number, because it is divible by the number of its divisors (78).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2076677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159738 + ... + 159750.

22076672 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 2076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997906).

2076672 is an abundant number, since it is smaller than the sum of its proper divisors (3919140).

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

2076672 is an equidigital number, since it uses as much as digits as its factorization.

2076672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2076672 is about 1441.0662718973. The cubic root of 2076672 is about 127.5819695897.

Adding to 2076672 its sum of digits (30), we get a palindrome (2076702).

The spelling of 2076672 in words is "two million, seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 512 624 676 768 832 1014 1024 1248 1352 1536 1664 2028 2048 2496 2704 3072 3328 4056 4096 4992 5408 6144 6656 8112 9984 10816 12288 13312 16224 19968 21632 26624 32448 39936 43264 53248 64896 79872 86528 129792 159744 173056 259584 346112 519168 692224 1038336 2076672