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2054080 = 26572131
BaseRepresentation
bin111110101011111000000
310212100200001
413311133000
51011212310
6112005344
723313400
oct7653700
93770601
102054080
111183296
12830854
1356bc42
143b6800
152a893a
hex1f57c0

2054080 has 84 divisors (see below), whose sum is σ = 5733288. Its totient is φ = 698880.

The previous prime is 2054077. The next prime is 2054089. The reversal of 2054080 is 804502.

It is a happy number.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15615 + ... + 15745.

22054080 is an apocalyptic number.

2054080 is a gapful number since it is divisible by the number (20) 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 2054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866644).

2054080 is an abundant number, since it is smaller than the sum of its proper divisors (3679208).

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

2054080 is a wasteful number, since it uses less digits than its factorization.

2054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2054080 is about 1433.2061959118. The cubic root of 2054080 is about 127.1176292519.

Adding to 2054080 its reverse (804502), we get a palindrome (2858582).

It can be divided in two parts, 20 and 54080, that multiplied together give a square (1081600 = 10402).

The spelling of 2054080 in words is "two million, fifty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 131 140 160 196 224 245 262 280 320 392 448 490 524 560 655 784 917 980 1048 1120 1310 1568 1834 1960 2096 2240 2620 3136 3668 3920 4192 4585 5240 6419 7336 7840 8384 9170 10480 12838 14672 15680 18340 20960 25676 29344 32095 36680 41920 51352 58688 64190 73360 102704 128380 146720 205408 256760 293440 410816 513520 1027040 2054080