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1922080 = 25541293
BaseRepresentation
bin111010101010000100000
310121122121011
413111100200
5443001310
6105110304
722223506
oct7252040
93548534
101922080
1110a30a6
12788394
13523b34
14380676
1527e78a
hex1d5420

1922080 has 48 divisors (see below), whose sum is σ = 4667544. Its totient is φ = 747520.

The previous prime is 1922077. The next prime is 1922111. The reversal of 1922080 is 802291.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 394384 = 1236^2 + 628^2 .

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, 6414 + ... + 6706.

21922080 is an apocalyptic number.

1922080 is a gapful number since it is divisible by the number (10) 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 1922080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333772).

1922080 is an abundant number, since it is smaller than the sum of its proper divisors (2745464).

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

1922080 is a wasteful number, since it uses less digits than its factorization.

1922080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1922080 is about 1386.3909982397. The cubic root of 1922080 is about 124.3341662877.

It can be divided in two parts, 19220 and 80, that multiplied together give a square (1537600 = 12402).

The spelling of 1922080 in words is "one million, nine hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 293 328 410 586 656 820 1172 1312 1465 1640 2344 2930 3280 4688 5860 6560 9376 11720 12013 23440 24026 46880 48052 60065 96104 120130 192208 240260 384416 480520 961040 1922080