Search a number
-
+
1671225640 = 235757110453
BaseRepresentation
bin110001110011100…
…1110000100101000
311022110201001120221
41203213032010220
511410313210030
6433500055424
756262116650
oct14347160450
94273631527
101671225640
117883aa617
123a7834574
13208313416
1411bd55360
159babce7a
hex639ce128

1671225640 has 64 divisors (see below), whose sum is σ = 4305375360. Its totient is φ = 571933440.

The previous prime is 1671225623. The next prime is 1671225643. The reversal of 1671225640 is 465221761.

It is a junction number, because it is equal to n+sod(n) for n = 1671225596 and 1671225605.

It is not an unprimeable number, because it can be changed into a prime (1671225643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154654 + ... + 165106.

It is an arithmetic number, because the mean of its divisors is an integer number (67271490).

Almost surely, 21671225640 is an apocalyptic number.

1671225640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1671225640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152687680).

1671225640 is an abundant number, since it is smaller than the sum of its proper divisors (2634149720).

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

1671225640 is a wasteful number, since it uses less digits than its factorization.

1671225640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11042 (or 11038 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1671225640 is about 40880.6267075249. The cubic root of 1671225640 is about 1186.7111694093.

The spelling of 1671225640 in words is "one billion, six hundred seventy-one million, two hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 571 1142 2284 2855 3997 4568 5710 7994 10453 11420 15988 19985 20906 22840 31976 39970 41812 52265 73171 79940 83624 104530 146342 159880 209060 292684 365855 418120 585368 731710 1463420 2926840 5968663 11937326 23874652 29843315 41780641 47749304 59686630 83561282 119373260 167122564 208903205 238746520 334245128 417806410 835612820 1671225640