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1090386441 = 3612232
BaseRepresentation
bin100000011111101…
…1111101000001001
32210222202101000000
41000333133220021
54213114331231
6300110433213
736010063134
oct10077375011
92728671000
101090386441
1150a549521
12265202809
13144b95ca1
14a4b5921b
1565ad76e6
hex40fdfa09

1090386441 has 21 divisors (see below), whose sum is σ = 1636169629. Its totient is φ = 726329916.

The previous prime is 1090386433. The next prime is 1090386449. The reversal of 1090386441 is 1446830901.

The square root of 1090386441 is 33021.

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

1090386441 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 3 + 8 + 644 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1090386433) and next prime (1090386449).

It is not a de Polignac number, because 1090386441 - 23 = 1090386433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1090386396 and 1090386405.

It is not an unprimeable number, because it can be changed into a prime (1090386449) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 890956 + ... + 892178.

Almost surely, 21090386441 is an apocalyptic number.

1090386441 is the 33021-st square number.

1090386441 is the 16511-st centered octagonal number.

It is an amenable number.

1090386441 is a deficient number, since it is larger than the sum of its proper divisors (545783188).

1090386441 is an frugal number, since it uses more digits than its factorization.

1090386441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 1090386441 is about 1029.2640738662.

Multiplying 1090386441 by its sum of digits (36), we get a square (39253911876 = 1981262).

Multiplying 1090386441 by its product of nonzero digits (20736), we get a square (22610253240576 = 47550242).

It can be divided in two parts, 10903 and 86441, that added together give a square (97344 = 3122).

The spelling of 1090386441 in words is "one billion, ninety million, three hundred eighty-six thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 243 729 1223 3669 11007 33021 99063 297189 891567 1495729 4487187 13461561 40384683 121154049 363462147 1090386441