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1925120 = 213547
BaseRepresentation
bin111010110000000000000
310121210202202
413112000000
5443100440
6105132332
722235411
oct7260000
93553682
101925120
1110a540a
1278a0a8
13525332
14381808
15280615
hex1d6000

1925120 has 56 divisors (see below), whose sum is σ = 4718304. Its totient is φ = 753664.

The previous prime is 1925117. The next prime is 1925129. The reversal of 1925120 is 215291.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1925092 and 1925101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1925129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40937 + ... + 40983.

21925120 is an apocalyptic number.

1925120 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 1925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359152).

1925120 is an abundant number, since it is smaller than the sum of its proper divisors (2793184).

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

1925120 is an frugal number, since it uses more digits than its factorization.

1925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1925120 is about 1387.4869368754. The cubic root of 1925120 is about 124.3996815575.

The spelling of 1925120 in words is "one million, nine hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 256 320 376 470 512 640 752 940 1024 1280 1504 1880 2048 2560 3008 3760 4096 5120 6016 7520 8192 10240 12032 15040 20480 24064 30080 40960 48128 60160 96256 120320 192512 240640 385024 481280 962560 1925120