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1404412000 = 25532912107
BaseRepresentation
bin101001110110101…
…1010000001100000
310121212122112002021
41103231122001200
510334012141000
6351205231224
746542206425
oct12355320140
93555575067
101404412000
11660832582
12332402514
13194c64a24
14d473dd4c
158346711a
hex53b5a060

1404412000 has 96 divisors (see below), whose sum is σ = 3569922720. Its totient is φ = 542348800.

The previous prime is 1404411989. The next prime is 1404412001. The reversal of 1404412000 is 2144041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404412001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109947 + ... + 122053.

It is an arithmetic number, because the mean of its divisors is an integer number (37186695).

Almost surely, 21404412000 is an apocalyptic number.

1404412000 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 1404412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784961360).

1404412000 is an abundant number, since it is smaller than the sum of its proper divisors (2165510720).

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

1404412000 is a wasteful number, since it uses less digits than its factorization.

1404412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12161 (or 12143 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1404412000 is about 37475.4853204065. The cubic root of 1404412000 is about 1119.8628658629.

Adding to 1404412000 its reverse (2144041), we get a palindrome (1406556041).

The spelling of 1404412000 in words is "one billion, four hundred four million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 12107 14500 23200 24214 29000 48428 58000 60535 96856 116000 121070 193712 242140 302675 351103 387424 484280 605350 702206 968560 1210700 1404412 1513375 1755515 1937120 2421400 2808824 3026750 3511030 4842800 5617648 6053500 7022060 8777575 9685600 11235296 12107000 14044120 17555150 24214000 28088240 35110300 43887875 48428000 56176480 70220600 87775750 140441200 175551500 280882400 351103000 702206000 1404412000