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1055013440 = 26513253609
BaseRepresentation
bin111110111000100…
…011101001000000
32201112012020100212
4332320203221000
54130040412230
6252404333252
735100315635
oct7670435100
92645166325
101055013440
114a1589238
122553a4228
1313a75c510
14a018c18c
156294b895
hex3ee23a40

1055013440 has 56 divisors (see below), whose sum is σ = 2705511480. Its totient is φ = 389541888.

The previous prime is 1055013433. The next prime is 1055013451. The reversal of 1055013440 is 443105501.

It can be written as a sum of positive squares in 4 ways, for example, as 4734976 + 1050278464 = 2176^2 + 32408^2 .

It is a super-2 number, since 2×10550134402 = 2226106717161267200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122645 + ... + 130964.

It is an arithmetic number, because the mean of its divisors is an integer number (48312705).

Almost surely, 21055013440 is an apocalyptic number.

1055013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055013440 is an abundant number, since it is smaller than the sum of its proper divisors (1650498040).

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

1055013440 is a wasteful number, since it uses less digits than its factorization.

1055013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253639 (or 253629 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1055013440 is about 32480.9704288526. The cubic root of 1055013440 is about 1018.0114531747.

Adding to 1055013440 its reverse (443105501), we get a palindrome (1498118941).

The spelling of 1055013440 in words is "one billion, fifty-five million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 253609 507218 1014436 1268045 2028872 2536090 3296917 4057744 5072180 6593834 8115488 10144360 13187668 16230976 16484585 20288720 26375336 32969170 40577440 52750672 65938340 81154880 105501344 131876680 211002688 263753360 527506720 1055013440