Search a number
-
+
1013366656 = 273725783
BaseRepresentation
bin111100011001101…
…011111110000000
32121121211100201101
4330121223332000
54033410213111
6244315544144
734053321511
oct7431537600
92547740641
101013366656
11480023405
1224345b054
13131c3a253
149882aa08
155de71bc1
hex3c66bf80

1013366656 has 48 divisors (see below), whose sum is σ = 2075212440. Its totient is φ = 492903936.

The previous prime is 1013366603. The next prime is 1013366659. The reversal of 1013366656 is 6566633101.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013366659) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172341 + ... + 178123.

Almost surely, 21013366656 is an apocalyptic number.

1013366656 is a gapful number since it is divisible by the number (16) 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 1013366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037606220).

1013366656 is an abundant number, since it is smaller than the sum of its proper divisors (1061845784).

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

1013366656 is an frugal number, since it uses more digits than its factorization.

1013366656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 1013366656 is about 31833.4204257098. The cubic root of 1013366656 is about 1004.4358461744.

Adding to 1013366656 its reverse (6566633101), we get a palindrome (7579999757).

The spelling of 1013366656 in words is "one billion, thirteen million, three hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 1369 2368 2738 4736 5476 5783 10952 11566 21904 23132 43808 46264 87616 92528 175232 185056 213971 370112 427942 740224 855884 1711768 3423536 6847072 7916927 13694144 15833854 27388288 31667708 63335416 126670832 253341664 506683328 1013366656