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1054064440 = 23511131271451
BaseRepresentation
bin111110110100111…
…011111100111000
32201110102000120201
4332310323330320
54124320030230
6252332131544
735056254112
oct7664737470
92643360521
101054064440
114a0aa0240
12255006bb4
1313a4b9590
149ddc23b2
15628105ca
hex3ed3bf38

1054064440 has 128 divisors (see below), whose sum is σ = 2810142720. Its totient is φ = 350784000.

The previous prime is 1054064423. The next prime is 1054064443. The reversal of 1054064440 is 444604501.

It is a super-2 number, since 2×10540644402 = 2222103687345027200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054064399 and 1054064408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054064443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725715 + ... + 727165.

It is an arithmetic number, because the mean of its divisors is an integer number (21954240).

Almost surely, 21054064440 is an apocalyptic number.

1054064440 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 1054064440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405071360).

1054064440 is an abundant number, since it is smaller than the sum of its proper divisors (1756078280).

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

1054064440 is a wasteful number, since it uses less digits than its factorization.

1054064440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1054064440 is about 32466.3585885452. The cubic root of 1054064440 is about 1017.7061228826.

Adding to 1054064440 its reverse (444604501), we get a palindrome (1498668941).

The spelling of 1054064440 in words is "one billion, fifty-four million, sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 127 130 143 220 254 260 286 440 508 520 572 635 715 1016 1144 1270 1397 1430 1451 1651 2540 2794 2860 2902 3302 5080 5588 5720 5804 6604 6985 7255 8255 11176 11608 13208 13970 14510 15961 16510 18161 18863 27940 29020 31922 33020 36322 37726 55880 58040 63844 66040 72644 75452 79805 90805 94315 127688 145288 150904 159610 181610 184277 188630 207493 319220 363220 368554 377260 414986 638440 726440 737108 754520 829972 921385 1037465 1474216 1659944 1842770 2027047 2074930 2395601 3685540 4054094 4149860 4791202 7371080 8108188 8299720 9582404 10135235 11978005 16216376 19164808 20270470 23956010 26351611 40540940 47912020 52703222 81081880 95824040 105406444 131758055 210812888 263516110 527032220 1054064440