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1012054736 = 247111674919
BaseRepresentation
bin111100010100101…
…011101011010000
32121112100201002202
4330110223223100
54033041222421
6244231502332
734036215620
oct7424535320
92545321082
101012054736
1147a307780
12242b279a8
1313189b074
14985a8880
155dcb310b
hex3c52bad0

1012054736 has 80 divisors (see below), whose sum is σ = 2459842560. Its totient is φ = 391866240.

The previous prime is 1012054711. The next prime is 1012054759. The reversal of 1012054736 is 6374502101.

1012054736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1012054699 and 1012054708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203285 + ... + 208203.

It is an arithmetic number, because the mean of its divisors is an integer number (30748032).

Almost surely, 21012054736 is an apocalyptic number.

1012054736 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 1012054736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229921280).

1012054736 is an abundant number, since it is smaller than the sum of its proper divisors (1447787824).

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

1012054736 is a wasteful number, since it uses less digits than its factorization.

1012054736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 1012054736 is about 31812.8077352503. The cubic root of 1012054736 is about 1004.0022063093.

Adding to 1012054736 its reverse (6374502101), we get a palindrome (7386556837).

The spelling of 1012054736 in words is "one billion, twelve million, fifty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 167 176 308 334 616 668 1169 1232 1336 1837 2338 2672 3674 4676 4919 7348 9352 9838 12859 14696 18704 19676 25718 29392 34433 39352 51436 54109 68866 78704 102872 108218 137732 205744 216436 275464 378763 432872 550928 757526 821473 865744 1515052 1642946 3030104 3285892 5750311 6060208 6571784 9036203 11500622 13143568 18072406 23001244 36144812 46002488 63253421 72289624 92004976 126506842 144579248 253013684 506027368 1012054736