Search a number
-
+
1023244420 = 2251122320857
BaseRepresentation
bin111100111111010…
…111100010000100
32122022102012110111
4330333113202010
54043422310140
6245311402404
734233301612
oct7477274204
92568365414
101023244420
1148565a750
12246823404
13133cb8293
1499c7c6b2
155ec737ea
hex3cfd7884

1023244420 has 48 divisors (see below), whose sum is σ = 2354784768. Its totient is φ = 370402560.

The previous prime is 1023244393. The next prime is 1023244441. The reversal of 1023244420 is 244423201.

It is a happy number.

It is a super-2 number, since 2×10232444202 = 2094058286122272800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1023244391 and 1023244400.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38632 + ... + 59488.

It is an arithmetic number, because the mean of its divisors is an integer number (49058016).

Almost surely, 21023244420 is an apocalyptic number.

1023244420 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 1023244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177392384).

1023244420 is an abundant number, since it is smaller than the sum of its proper divisors (1331540348).

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

1023244420 is a wasteful number, since it uses less digits than its factorization.

1023244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21100 (or 21098 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1023244420 is about 31988.1918838812. The cubic root of 1023244420 is about 1007.6888697631.

Adding to 1023244420 its reverse (244423201), we get a palindrome (1267667621).

The spelling of 1023244420 in words is "one billion, twenty-three million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 223 446 892 1115 2230 2453 4460 4906 9812 12265 20857 24530 41714 49060 83428 104285 208570 229427 417140 458854 917708 1147135 2294270 4588540 4651111 9302222 18604444 23255555 46511110 51162221 93022220 102324442 204648884 255811105 511622210 1023244420