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20643040 = 2551137317
BaseRepresentation
bin100111010111…
…1110011100000
31102211202221001
41032233303200
520241034130
62014241344
7340314535
oct116576340
942752831
1020643040
111071a470
126ab6254
13437a022
142a54d8c
151c2b6ca
hex13afce0

20643040 has 96 divisors (see below), whose sum is σ = 54813024. Its totient is φ = 7280640.

The previous prime is 20642971. The next prime is 20643043. The reversal of 20643040 is 4034602.

It is a super-2 number, since 2×206430402 = 852270200883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20642999 and 20643017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20643043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64962 + ... + 65278.

It is an arithmetic number, because the mean of its divisors is an integer number (570969).

Almost surely, 220643040 is an apocalyptic number.

20643040 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 20643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27406512).

20643040 is an abundant number, since it is smaller than the sum of its proper divisors (34169984).

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

20643040 is a wasteful number, since it uses less digits than its factorization.

20643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 20643040 is about 4543.4612356660. The cubic root of 20643040 is about 274.3202606123.

Adding to 20643040 its reverse (4034602), we get a palindrome (24677642).

The spelling of 20643040 in words is "twenty million, six hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 110 148 160 176 185 220 296 317 352 370 407 440 592 634 740 814 880 1184 1268 1480 1585 1628 1760 2035 2536 2960 3170 3256 3487 4070 5072 5920 6340 6512 6974 8140 10144 11729 12680 13024 13948 16280 17435 23458 25360 27896 32560 34870 46916 50720 55792 58645 65120 69740 93832 111584 117290 129019 139480 187664 234580 258038 278960 375328 469160 516076 557920 645095 938320 1032152 1290190 1876640 2064304 2580380 4128608 5160760 10321520 20643040