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20945040 = 2435197443
BaseRepresentation
bin100111111100…
…1100010010000
31110102010012020
41033321202100
520330220130
62024531440
7343013154
oct117714220
943363166
1020945040
1110906356
127020b80
13445461c
142ad3064
151c8ae10
hex13f9890

20945040 has 80 divisors (see below), whose sum is σ = 65406528. Its totient is φ = 5544448.

The previous prime is 20945039. The next prime is 20945051. The reversal of 20945040 is 4054902.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20945040.

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, 47059 + ... + 47501.

Almost surely, 220945040 is an apocalyptic number.

20945040 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 20945040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32703264).

20945040 is an abundant number, since it is smaller than the sum of its proper divisors (44461488).

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

20945040 is a wasteful number, since it uses less digits than its factorization.

20945040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20945040 is about 4576.5751386818. The cubic root of 20945040 is about 275.6515240747.

Adding to 20945040 its reverse (4054902), we get a palindrome (24999942).

The spelling of 20945040 in words is "twenty million, nine hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 443 591 788 886 985 1182 1329 1576 1772 1970 2215 2364 2658 2955 3152 3544 3940 4430 4728 5316 5910 6645 7088 7880 8860 9456 10632 11820 13290 15760 17720 21264 23640 26580 35440 47280 53160 87271 106320 174542 261813 349084 436355 523626 698168 872710 1047252 1309065 1396336 1745420 2094504 2618130 3490840 4189008 5236260 6981680 10472520 20945040