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2076192 = 253689
BaseRepresentation
bin111111010111000100000
310220111000000
413322320200
51012414232
6112300000
723435016
oct7727040
93814000
102076192
111198968
12841600
13579021
143c08b6
152b027c
hex1fae20

2076192 has 84 divisors (see below), whose sum is σ = 6197310. Its totient is φ = 684288.

The previous prime is 2076161. The next prime is 2076209. The reversal of 2076192 is 2916702.

It can be written as a sum of positive squares in only one way, i.e., 1971216 + 104976 = 1404^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23284 + ... + 23372.

22076192 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 2076192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098655).

2076192 is an abundant number, since it is smaller than the sum of its proper divisors (4121118).

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

2076192 is an frugal number, since it uses more digits than its factorization.

2076192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2076192 is about 1440.8997189256. The cubic root of 2076192 is about 127.5721391070.

The spelling of 2076192 in words is "two million, seventy-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 89 96 108 144 162 178 216 243 267 288 324 356 432 486 534 648 712 729 801 864 972 1068 1296 1424 1458 1602 1944 2136 2403 2592 2848 2916 3204 3888 4272 4806 5832 6408 7209 7776 8544 9612 11664 12816 14418 19224 21627 23328 25632 28836 38448 43254 57672 64881 76896 86508 115344 129762 173016 230688 259524 346032 519048 692064 1038096 2076192