Search a number
-
+
1004614020 = 223256738293
BaseRepresentation
bin111011111000010…
…011000110000100
32121000100200100200
4323320103012010
54024140122040
6243404210500
733616035564
oct7370230604
92530320320
101004614020
11476095423
12240539a30
13130194387
14975ccda4
155d2e3630
hex3be13184

1004614020 has 72 divisors (see below), whose sum is σ = 3052225176. Its totient is φ = 267466752.

The previous prime is 1004614001. The next prime is 1004614109. The reversal of 1004614020 is 204164001.

It can be written as a sum of positive squares in 4 ways, for example, as 7064964 + 997549056 = 2658^2 + 31584^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004613984 and 1004614002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116994 + ... + 125286.

Almost surely, 21004614020 is an apocalyptic number.

1004614020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004614020 is an abundant number, since it is smaller than the sum of its proper divisors (2047611156).

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

1004614020 is a wasteful number, since it uses less digits than its factorization.

1004614020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8981 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1004614020 is about 31695.6467042400. The cubic root of 1004614020 is about 1001.5356472471.

Adding to 1004614020 its reverse (204164001), we get a palindrome (1208778021).

The spelling of 1004614020 in words is "one billion, four million, six hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 673 1346 2019 2692 3365 4038 6057 6730 8076 8293 10095 12114 13460 16586 20190 24228 24879 30285 33172 40380 41465 49758 60570 74637 82930 99516 121140 124395 149274 165860 248790 298548 373185 497580 746370 1492740 5581189 11162378 16743567 22324756 27905945 33487134 50230701 55811890 66974268 83717835 100461402 111623780 167435670 200922804 251153505 334871340 502307010 1004614020