Search a number
-
+
1074189440 = 2751678421
BaseRepresentation
bin100000000000110…
…1101010010000000
32202212021110220002
41000001231102000
54144443030230
6254331335132
735422313432
oct10001552200
92685243802
101074189440
11501396475
1225b8b14a8
1314171486c
14a2940652
1564488545
hex4006d480

1074189440 has 32 divisors (see below), whose sum is σ = 2567985660. Its totient is φ = 429675520.

The previous prime is 1074189383. The next prime is 1074189449. The reversal of 1074189440 is 449814701.

It can be written as a sum of positive squares in 2 ways, for example, as 1022464576 + 51724864 = 31976^2 + 7192^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1074189394 and 1074189403.

It is not an unprimeable number, because it can be changed into a prime (1074189449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 838571 + ... + 839850.

Almost surely, 21074189440 is an apocalyptic number.

1074189440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074189440 is an abundant number, since it is smaller than the sum of its proper divisors (1493796220).

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

1074189440 is an equidigital number, since it uses as much as digits as its factorization.

1074189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678440 (or 1678428 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 1074189440 is about 32774.8293664513. The cubic root of 1074189440 is about 1024.1422735260.

The spelling of 1074189440 in words is "one billion, seventy-four million, one hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1678421 3356842 6713684 8392105 13427368 16784210 26854736 33568420 53709472 67136840 107418944 134273680 214837888 268547360 537094720 1074189440