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2455040 = 2957137
BaseRepresentation
bin1001010111011000000000
311121201200102
421113120000
51112030130
6124341532
726603360
oct11273000
94551612
102455040
111427565
129a48a8
1367c5b3
1447c9a0
15337645
hex257600

2455040 has 80 divisors (see below), whose sum is σ = 6776352. Its totient is φ = 835584.

The previous prime is 2455003. The next prime is 2455087. The reversal of 2455040 is 405542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17852 + ... + 17988.

22455040 is an apocalyptic number.

2455040 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 2455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388176).

2455040 is an abundant number, since it is smaller than the sum of its proper divisors (4321312).

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

2455040 is an equidigital number, since it uses as much as digits as its factorization.

2455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2455040 is about 1566.8567260602. The cubic root of 2455040 is about 134.9023527986.

The spelling of 2455040 in words is "two million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 137 140 160 224 256 274 280 320 448 512 548 560 640 685 896 959 1096 1120 1280 1370 1792 1918 2192 2240 2560 2740 3584 3836 4384 4480 4795 5480 7672 8768 8960 9590 10960 15344 17536 17920 19180 21920 30688 35072 38360 43840 61376 70144 76720 87680 122752 153440 175360 245504 306880 350720 491008 613760 1227520 2455040