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1054411440 = 243510134337
BaseRepresentation
bin111110110110010…
…000101010110000
32201111001122120120
4332312100222300
54124412131230
6252343410240
735062230555
oct7666205260
92644048516
101054411440
114a1207a15
12255153980
1313a5ab4c4
14a0072a2c
156287d310
hex3ed90ab0

1054411440 has 80 divisors (see below), whose sum is σ = 3272656608. Its totient is φ = 280834048.

The previous prime is 1054411387. The next prime is 1054411469. The reversal of 1054411440 is 441144501.

1054411440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10544114402 = 2223566969605747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1054411440.

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, 240952 + ... + 245288.

Almost surely, 21054411440 is an apocalyptic number.

1054411440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054411440 is an abundant number, since it is smaller than the sum of its proper divisors (2218245168).

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

1054411440 is a wasteful number, since it uses less digits than its factorization.

1054411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1054411440 is about 32471.7021420190. The cubic root of 1054411440 is about 1017.8177875546.

Adding to 1054411440 its reverse (441144501), we get a palindrome (1495555941).

The spelling of 1054411440 in words is "one billion, fifty-four million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1013 2026 3039 4052 4337 5065 6078 8104 8674 10130 12156 13011 15195 16208 17348 20260 21685 24312 26022 30390 34696 40520 43370 48624 52044 60780 65055 69392 81040 86740 104088 121560 130110 173480 208176 243120 260220 346960 520440 1040880 4393381 8786762 13180143 17573524 21966905 26360286 35147048 43933810 52720572 65900715 70294096 87867620 105441144 131801430 175735240 210882288 263602860 351470480 527205720 1054411440