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20396610 = 2345132149
BaseRepresentation
bin100110111001…
…1101001000010
31102101020220000
41031303221002
520210142420
62005100430
7335240223
oct115635102
942336800
1020396610
1110571303
1269b7716
1342c1b00
1429cd24a
151bcd690
hex1373a42

20396610 has 120 divisors (see below), whose sum is σ = 59786100. Its totient is φ = 4987008.

The previous prime is 20396591. The next prime is 20396681. The reversal of 20396610 is 1669302.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 227529 + 20169081 = 477^2 + 4491^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 136816 + ... + 136964.

Almost surely, 220396610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20396610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29893050).

20396610 is an abundant number, since it is smaller than the sum of its proper divisors (39389490).

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

20396610 is a wasteful number, since it uses less digits than its factorization.

20396610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20396610 is about 4516.2606213548. The cubic root of 20396610 is about 273.2243054490.

It can be divided in two parts, 2039 and 6610, that added together give a square (8649 = 932).

The spelling of 20396610 in words is "twenty million, three hundred ninety-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 149 162 169 195 234 270 298 338 351 390 405 447 507 585 702 745 810 845 894 1014 1053 1170 1341 1490 1521 1690 1755 1937 2106 2235 2535 2682 3042 3510 3874 4023 4470 4563 5070 5265 5811 6705 7605 8046 9126 9685 10530 11622 12069 13410 13689 15210 17433 19370 20115 22815 24138 25181 27378 29055 34866 40230 45630 50362 52299 58110 60345 68445 75543 87165 104598 120690 125905 136890 151086 156897 174330 226629 251810 261495 313794 377715 453258 522990 679887 755430 784485 1133145 1359774 1568970 2039661 2266290 3399435 4079322 6798870 10198305 20396610