Search a number
-
+
1054805440 = 265132271117
BaseRepresentation
bin111110110111110…
…000110111000000
32201111210200001011
4332313300313000
54130012233230
6252400050304
735065461343
oct7667606700
92644720034
101054805440
114a1456a37
12255303994
1313a6b8940
14a013645a
1562909e2a
hex3edf0dc0

1054805440 has 112 divisors (see below), whose sum is σ = 2719315872. Its totient is φ = 387403776.

The previous prime is 1054805413. The next prime is 1054805447. The reversal of 1054805440 is 445084501.

It is a super-2 number, since 2×10548054402 = 2225229032507187200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054805447) 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 15 ways as a sum of consecutive naturals, for example, 943762 + ... + 944878.

It is an arithmetic number, because the mean of its divisors is an integer number (24279606).

Almost surely, 21054805440 is an apocalyptic number.

1054805440 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 1054805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359657936).

1054805440 is an abundant number, since it is smaller than the sum of its proper divisors (1664510432).

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

1054805440 is a wasteful number, since it uses less digits than its factorization.

1054805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 1054805440 is about 32477.7683962430. The cubic root of 1054805440 is about 1017.9445471394.

Adding to 1054805440 its reverse (445084501), we get a palindrome (1499889941).

The spelling of 1054805440 in words is "one billion, fifty-four million, eight hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 227 260 320 416 454 520 832 908 1040 1117 1135 1816 2080 2234 2270 2951 3632 4160 4468 4540 5585 5902 7264 8936 9080 11170 11804 14521 14528 14755 17872 18160 22340 23608 29042 29510 35744 36320 44680 47216 58084 59020 71488 72605 72640 89360 94432 116168 118040 145210 178720 188864 232336 236080 253559 290420 357440 464672 472160 507118 580840 929344 944320 1014236 1161680 1267795 2028472 2323360 2535590 3296267 4056944 4646720 5071180 6592534 8113888 10142360 13185068 16227776 16481335 20284720 26370136 32962670 40569440 52740272 65925340 81138880 105480544 131850680 210961088 263701360 527402720 1054805440