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20395746 = 233779683
BaseRepresentation
bin100110111001…
…1011011100010
31102101012201000
41031303123202
520210130441
62005052430
7335234550
oct115633342
942335630
1020395746
1110570698
1269b7116
1342c15b7
1429ccbd0
151bcd2b6
hex13736e2

20395746 has 64 divisors (see below), whose sum is σ = 52531200. Its totient is φ = 5745168.

The previous prime is 20395741. The next prime is 20395747. The reversal of 20395746 is 64759302.

It is a self number, because there is not a number n which added to its sum of digits gives 20395746.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20395741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29521 + ... + 30203.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 220395746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20395746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26265600).

20395746 is an abundant number, since it is smaller than the sum of its proper divisors (32135454).

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

20395746 is a wasteful number, since it uses less digits than its factorization.

20395746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 20395746 is about 4516.1649659861. The cubic root of 20395746 is about 273.2204474691.

The spelling of 20395746 in words is "twenty million, three hundred ninety-five thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 237 378 474 553 683 711 1106 1366 1422 1659 2049 2133 3318 4098 4266 4781 4977 6147 9562 9954 12294 14343 14931 18441 28686 29862 36882 43029 53957 86058 107914 129087 161871 258174 323742 377699 485613 755398 971226 1133097 1456839 2266194 2913678 3399291 6798582 10197873 20395746