Search a number
-
+
1404107100 = 22325211141829
BaseRepresentation
bin101001110110000…
…1111100101011100
310121212002000211200
41103230033211130
510333422411400
6351154515500
746536466464
oct12354174534
93555060750
101404107100
116606444a0
12332295b90
13194b89006
14d46a0ba4
1583406b00
hex53b0f95c

1404107100 has 108 divisors (see below), whose sum is σ = 4801229160. Its totient is φ = 340387200.

The previous prime is 1404107083. The next prime is 1404107113. The reversal of 1404107100 is 17014041.

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

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 35 ways as a sum of consecutive naturals, for example, 61015 + ... + 80814.

Almost surely, 21404107100 is an apocalyptic number.

1404107100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1404107100 is an abundant number, since it is smaller than the sum of its proper divisors (3397122060).

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

1404107100 is a wasteful number, since it uses less digits than its factorization.

1404107100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141860 (or 141850 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1404107100 is about 37471.4171069096. The cubic root of 1404107100 is about 1119.7818186820.

The spelling of 1404107100 in words is "one billion, four hundred four million, one hundred seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 141829 283658 425487 567316 709145 850974 1276461 1418290 1560119 1701948 2127435 2552922 2836580 3120238 3545725 4254870 4680357 5105844 6240476 6382305 7091450 7800595 8509740 9360714 10637175 12764610 14041071 14182900 15601190 18721428 21274350 23401785 25529220 28082142 31202380 31911525 39002975 42548700 46803570 56164284 63823050 70205355 78005950 93607140 117008925 127646100 140410710 156011900 234017850 280821420 351026775 468035700 702053550 1404107100