Search a number
-
+
1020626620 = 2251317447
BaseRepresentation
bin111100110101011…
…000011010111100
32122010111012111221
4330311120122330
54042240022440
6245135323124
734202116546
oct7465303274
92563435457
101020626620
11484131982
122459804a4
131335ac8a0
149979a696
155e907d4a
hex3cd586bc

1020626620 has 120 divisors (see below), whose sum is σ = 2504625984. Its totient is φ = 347132928.

The previous prime is 1020626617. The next prime is 1020626627. The reversal of 1020626620 is 266260201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020626627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21715437 + ... + 21715483.

Almost surely, 21020626620 is an apocalyptic number.

1020626620 is a gapful number since it is divisible by the number (10) 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 1020626620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252312992).

1020626620 is an abundant number, since it is smaller than the sum of its proper divisors (1483999364).

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

1020626620 is an equidigital number, since it uses as much as digits as its factorization.

1020626620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1020626620 is about 31947.2474557668. The cubic root of 1020626620 is about 1006.8288013244.

Adding to 1020626620 its reverse (266260201), we get a palindrome (1286886821).

The spelling of 1020626620 in words is "one billion, twenty million, six hundred twenty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 47 52 65 68 85 94 130 170 188 221 235 260 289 340 442 470 578 611 799 884 940 1105 1156 1222 1445 1598 2210 2444 2890 3055 3196 3757 3995 4420 4913 5780 6110 7514 7990 9826 10387 12220 13583 15028 15980 18785 19652 20774 24565 27166 37570 41548 49130 51935 54332 63869 67915 75140 83521 98260 103870 127738 135830 167042 176579 207740 230911 255476 271660 319345 334084 353158 417605 461822 638690 706316 835210 882895 923644 1085773 1154555 1277380 1670420 1765790 2171546 2309110 3001843 3531580 3925487 4343092 4618220 5428865 6003686 7850974 10857730 12007372 15009215 15701948 19627435 21715460 30018430 39254870 51031331 60036860 78509740 102062662 204125324 255156655 510313310 1020626620