Search a number
-
+
1404031300 = 2252721012837
BaseRepresentation
bin101001110101111…
…1101000101000100
310121211221011212021
41103223331011010
510333413000200
6351153132524
746536032500
oct12353750504
93554834767
101404031300
116605a2551
1233225a144
13194b60669
14d4681300
15833de41a
hex53afd144

1404031300 has 108 divisors (see below), whose sum is σ = 3580528644. Its totient is φ = 476448000.

The previous prime is 1404031271. The next prime is 1404031303. The reversal of 1404031300 is 31304041.

It can be written as a sum of positive squares in 6 ways, for example, as 30735936 + 1373295364 = 5544^2 + 37058^2 .

It is not an unprimeable number, because it can be changed into a prime (1404031303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 493482 + ... + 496318.

It is an arithmetic number, because the mean of its divisors is an integer number (33153043).

Almost surely, 21404031300 is an apocalyptic number.

1404031300 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 1404031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790264322).

1404031300 is an abundant number, since it is smaller than the sum of its proper divisors (2176497344).

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

1404031300 is a wasteful number, since it uses less digits than its factorization.

1404031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1404031300 is about 37470.4056556638. The cubic root of 1404031300 is about 1119.7616680374.

Adding to 1404031300 its reverse (31304041), we get a palindrome (1435335341).

The spelling of 1404031300 in words is "one billion, four hundred four million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 101 140 175 196 202 245 350 404 490 505 700 707 980 1010 1225 1414 2020 2450 2525 2828 2837 3535 4900 4949 5050 5674 7070 9898 10100 11348 14140 14185 17675 19796 19859 24745 28370 35350 39718 49490 56740 70700 70925 79436 98980 99295 123725 139013 141850 198590 247450 278026 283700 286537 397180 494900 496475 556052 573074 695065 992950 1146148 1390130 1432685 1985900 2005759 2780260 2865370 3475325 4011518 5730740 6950650 7163425 8023036 10028795 13901300 14040313 14326850 20057590 28080626 28653700 40115180 50143975 56161252 70201565 100287950 140403130 200575900 280806260 351007825 702015650 1404031300