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20545440 = 2535231861
BaseRepresentation
bin100111001011…
…1111110100000
31102122211001020
41032113332200
520224423230
62012205440
7336430146
oct116277640
942584036
1020545440
1110663103
126a69880
134344786
142a2b596
151c0c810
hex1397fa0

20545440 has 96 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 5237760.

The previous prime is 20545433. The next prime is 20545477. The reversal of 20545440 is 4454502.

It is a tau number, because it is divible by the number of its divisors (96).

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 20545440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10110 + ... + 11970.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 220545440 is an apocalyptic number.

20545440 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 20545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

20545440 is an abundant number, since it is smaller than the sum of its proper divisors (47022816).

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

20545440 is a wasteful number, since it uses less digits than its factorization.

20545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 20545440 is about 4532.7077999801. The cubic root of 20545440 is about 273.8872500387.

Adding to 20545440 its reverse (4454502), we get a palindrome (24999942).

The spelling of 20545440 in words is "twenty million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 1861 2208 2760 3680 3722 5520 5583 7444 9305 11040 11166 14888 18610 22332 27915 29776 37220 42803 44664 55830 59552 74440 85606 89328 111660 128409 148880 171212 178656 214015 223320 256818 297760 342424 428030 446640 513636 642045 684848 856060 893280 1027272 1284090 1369696 1712120 2054544 2568180 3424240 4109088 5136360 6848480 10272720 20545440