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1076344020 = 223255979689
BaseRepresentation
bin100000000100111…
…1011010011010100
32210000022221102100
41000021323103110
54201021002040
6254445442100
735446526133
oct10011732324
92700287370
101076344020
11502628214
12260570330
13141cba46b
14a2d4191a
1564761b30
hex4027b4d4

1076344020 has 36 divisors (see below), whose sum is σ = 3264910740. Its totient is φ = 287025024.

The previous prime is 1076344007. The next prime is 1076344033. The reversal of 1076344020 is 204436701.

1076344020 is a `hidden beast` number, since 1 + 0 + 7 + 634 + 4 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1076344007) and next prime (1076344033).

It can be written as a sum of positive squares in 2 ways, for example, as 197458704 + 878885316 = 14052^2 + 29646^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2989665 + ... + 2990024.

It is an arithmetic number, because the mean of its divisors is an integer number (90691965).

Almost surely, 21076344020 is an apocalyptic number.

1076344020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076344020 is an abundant number, since it is smaller than the sum of its proper divisors (2188566720).

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

1076344020 is a wasteful number, since it uses less digits than its factorization.

1076344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979704 (or 5979699 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1076344020 is about 32807.6823320392. The cubic root of 1076344020 is about 1024.8265484807.

The spelling of 1076344020 in words is "one billion, seventy-six million, three hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5979689 11959378 17939067 23918756 29898445 35878134 53817201 59796890 71756268 89695335 107634402 119593780 179390670 215268804 269086005 358781340 538172010 1076344020