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20242668 = 22323711033
BaseRepresentation
bin100110100111…
…0000011101100
31102002102201110
41031032003230
520140231133
62001512020
7334026345
oct115160354
942072643
1020242668
1110476686
126942610
134269a14
14298d0cc
151b9cc63
hex134e0ec

20242668 has 48 divisors (see below), whose sum is σ = 50029056. Its totient is φ = 6357120.

The previous prime is 20242603. The next prime is 20242687. The reversal of 20242668 is 86624202.

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, 19080 + ... + 20112.

It is an arithmetic number, because the mean of its divisors is an integer number (1042272).

Almost surely, 220242668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20242668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25014528).

20242668 is an abundant number, since it is smaller than the sum of its proper divisors (29786388).

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

20242668 is a wasteful number, since it uses less digits than its factorization.

20242668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 20242668 is about 4499.1852595776. The cubic root of 20242668 is about 272.5351883409.

It can be divided in two parts, 20242 and 668, that added together give a triangular number (20910 = T204).

The spelling of 20242668 in words is "twenty million, two hundred forty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 71 92 138 142 213 276 284 426 852 1033 1633 2066 3099 3266 4132 4899 6198 6532 9798 12396 19596 23759 47518 71277 73343 95036 142554 146686 220029 285108 293372 440058 880116 1686889 3373778 5060667 6747556 10121334 20242668