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2474080 = 2557472
BaseRepresentation
bin1001011100000001100000
311122200210121
421130001200
51113132310
6125010024
730013030
oct11340140
94580717
102474080
11143a8a4
129b3914
1368816b
144858c0
1533d0da
hex25c060

2474080 has 72 divisors (see below), whose sum is σ = 6825168. Its totient is φ = 830208.

The previous prime is 2474071. The next prime is 2474117. The reversal of 2474080 is 804742.

It is a super-2 number, since 2×24740802 = 12242143692800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52617 + ... + 52663.

It is an arithmetic number, because the mean of its divisors is an integer number (94794).

22474080 is an apocalyptic number.

2474080 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 2474080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412584).

2474080 is an abundant number, since it is smaller than the sum of its proper divisors (4351088).

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

2474080 is an equidigital number, since it uses as much as digits as its factorization.

2474080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2474080 is about 1572.9208498841. The cubic root of 2474080 is about 135.2501990219.

The spelling of 2474080 in words is "two million, four hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 70 80 94 112 140 160 188 224 235 280 329 376 470 560 658 752 940 1120 1316 1504 1645 1880 2209 2632 3290 3760 4418 5264 6580 7520 8836 10528 11045 13160 15463 17672 22090 26320 30926 35344 44180 52640 61852 70688 77315 88360 123704 154630 176720 247408 309260 353440 494816 618520 1237040 2474080