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1107491841 = 32110932
BaseRepresentation
bin100001000000010…
…1111110000000001
32212011221102012100
41002000233300001
54232004214331
6301521221013
736305345121
oct10200576001
92764842170
101107491841
11519172015
1226aa91769
131485a4a21
14a712cc81
1567365ae6
hex4202fc01

1107491841 has 9 divisors (see below), whose sum is σ = 1599854659. Its totient is φ = 738261336.

The previous prime is 1107491753. The next prime is 1107491849. The reversal of 1107491841 is 1481947011.

It is a happy number.

The square root of 1107491841 is 33279.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 922640625 + 184851216 = 30375^2 + 13596^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1107491841 - 219 = 1106967553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1107491796 and 1107491805.

It is not an unprimeable number, because it can be changed into a prime (1107491849) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94291 + ... + 105383.

Almost surely, 21107491841 is an apocalyptic number.

1107491841 is the 33279-th square number.

1107491841 is the 16640-th centered octagonal number.

It is an amenable number.

1107491841 is a deficient number, since it is larger than the sum of its proper divisors (492362818).

1107491841 is an frugal number, since it uses more digits than its factorization.

1107491841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22192 (or 11096 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The cubic root of 1107491841 is about 1034.6183540031.

Multiplying 1107491841 by its sum of digits (36), we get a square (39869706276 = 1996742).

The spelling of 1107491841 in words is "one billion, one hundred seven million, four hundred ninety-one thousand, eight hundred forty-one".

Divisors: 1 3 9 11093 33279 99837 123054649 369163947 1107491841