Search a number
-
+
1890460638 = 2321161156521
BaseRepresentation
bin111000010101110…
…0010001111011110
311212202020100110200
41300223202033132
512332424220023
6511331044330
764563436023
oct16053421736
94782210420
101890460638
11890130070
124491406a6
13241873881
1413d10354a
15b0e76743
hex70ae23de

1890460638 has 48 divisors (see below), whose sum is σ = 4541642352. Its totient is φ = 563472000.

The previous prime is 1890460601. The next prime is 1890460667. The reversal of 1890460638 is 8360640981.

1890460638 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 4 + 6 + 0 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1890460593 and 1890460602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66183 + ... + 90338.

It is an arithmetic number, because the mean of its divisors is an integer number (94617549).

Almost surely, 21890460638 is an apocalyptic number.

1890460638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1890460638 is an abundant number, since it is smaller than the sum of its proper divisors (2651181714).

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

1890460638 is a wasteful number, since it uses less digits than its factorization.

1890460638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156601 (or 156598 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1890460638 is about 43479.4277561239. The cubic root of 1890460638 is about 1236.4860273187.

The spelling of 1890460638 in words is "one billion, eight hundred ninety million, four hundred sixty thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 6039 12078 156521 313042 469563 939126 1408689 1721731 2817378 3443462 5165193 9547781 10330386 15495579 19095562 28643343 30991158 57286686 85930029 105025591 171860058 210051182 315076773 630153546 945230319 1890460638