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1906080 = 253511192
BaseRepresentation
bin111010001010110100000
310120211122120
413101112200
5441443310
6104504240
722126041
oct7212640
93524576
101906080
111092080
1277b080
13519777
143788c8
15279b70
hex1d15a0

1906080 has 144 divisors (see below), whose sum is σ = 6912864. Its totient is φ = 437760.

The previous prime is 1906063. The next prime is 1906087. The reversal of 1906080 is 806091.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1906080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1906087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100311 + ... + 100329.

It is an arithmetic number, because the mean of its divisors is an integer number (48006).

21906080 is an apocalyptic number.

1906080 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 1906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456432).

1906080 is an abundant number, since it is smaller than the sum of its proper divisors (5006784).

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

1906080 is a wasteful number, since it uses less digits than its factorization.

1906080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1906080 is about 1380.6085614685. The cubic root of 1906080 is about 123.9882056073.

The spelling of 1906080 in words is "one million, nine hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 32 33 38 40 44 48 55 57 60 66 76 80 88 95 96 110 114 120 132 152 160 165 176 190 209 220 228 240 264 285 304 330 352 361 380 418 440 456 480 528 570 608 627 660 722 760 836 880 912 1045 1056 1083 1140 1254 1320 1444 1520 1672 1760 1805 1824 2090 2166 2280 2508 2640 2888 3040 3135 3344 3610 3971 4180 4332 4560 5016 5280 5415 5776 6270 6688 7220 7942 8360 8664 9120 10032 10830 11552 11913 12540 14440 15884 16720 17328 19855 20064 21660 23826 25080 28880 31768 33440 34656 39710 43320 47652 50160 57760 59565 63536 79420 86640 95304 100320 119130 127072 158840 173280 190608 238260 317680 381216 476520 635360 953040 1906080