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2055480 = 233572447
BaseRepresentation
bin111110101110100111000
310212102120220
413311310320
51011233410
6112020040
723320440
oct7656470
93772526
102055480
111184349
12831620
1356c77b
143b7120
152a9070
hex1f5d38

2055480 has 64 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 469632.

The previous prime is 2055479. The next prime is 2055481. The reversal of 2055480 is 845502.

It is an interprime number because it is at equal distance from previous prime (2055479) and next prime (2055481).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2055480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

22055480 is an apocalyptic number.

2055480 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 2055480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525120).

2055480 is an abundant number, since it is smaller than the sum of its proper divisors (4994760).

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

2055480 is a wasteful number, since it uses less digits than its factorization.

2055480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2055480 is about 1433.6945281335. The cubic root of 2055480 is about 127.1465025617.

The spelling of 2055480 in words is "two million, fifty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2447 4894 7341 9788 12235 14682 17129 19576 24470 29364 34258 36705 48940 51387 58728 68516 73410 85645 97880 102774 137032 146820 171290 205548 256935 293640 342580 411096 513870 685160 1027740 2055480