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1061369920 = 26513255137
BaseRepresentation
bin111111010000110…
…011100001000000
32201222011011211001
4333100303201000
54133202314140
6253152501344
735205331642
oct7720634100
92658134731
101061369920
114a512aa26
1225754a854
1313bb76850
14a0d64892
15632a4e9a
hex3f433840

1061369920 has 56 divisors (see below), whose sum is σ = 2721812184. Its totient is φ = 391888896.

The previous prime is 1061369893. The next prime is 1061370007. The reversal of 1061369920 is 299631601.

It can be written as a sum of positive squares in 4 ways, for example, as 33269824 + 1028100096 = 5768^2 + 32064^2 .

It is a super-2 number, since 2×10613699202 = 2253012214161612800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1061369920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123409 + ... + 131728.

It is an arithmetic number, because the mean of its divisors is an integer number (48603789).

Almost surely, 21061369920 is an apocalyptic number.

1061369920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061369920 is an abundant number, since it is smaller than the sum of its proper divisors (1660442264).

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

1061369920 is a wasteful number, since it uses less digits than its factorization.

1061369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255167 (or 255157 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 1061369920 is about 32578.6727783684. The cubic root of 1061369920 is about 1020.0518748447.

The spelling of 1061369920 in words is "one billion, sixty-one million, three hundred sixty-nine thousand, nine hundred twenty".

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 255137 510274 1020548 1275685 2041096 2551370 3316781 4082192 5102740 6633562 8164384 10205480 13267124 16328768 16583905 20410960 26534248 33167810 40821920 53068496 66335620 81643840 106136992 132671240 212273984 265342480 530684960 1061369920