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1404430020 = 2232579711491
BaseRepresentation
bin101001110110101…
…1110011011000100
310121212200102210200
41103231132123010
510334013230040
6351205450500
746542313110
oct12355363304
93555612720
101404430020
11660845074
12332410a30
13194c6cca6
14d4746740
158346c630
hex53b5e6c4

1404430020 has 144 divisors (see below), whose sum is σ = 4919311488. Its totient is φ = 317675520.

The previous prime is 1404430019. The next prime is 1404430037. The reversal of 1404430020 is 200344041.

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 = 1404429975 and 1404430002.

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 47 ways as a sum of consecutive naturals, for example, 116475 + ... + 127965.

Almost surely, 21404430020 is an apocalyptic number.

1404430020 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 1404430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459655744).

1404430020 is an abundant number, since it is smaller than the sum of its proper divisors (3514881468).

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

1404430020 is a wasteful number, since it uses less digits than its factorization.

1404430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11610 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1404430020 is about 37475.7257434729. The cubic root of 1404430020 is about 1119.8676554931.

Adding to 1404430020 its reverse (200344041), we get a palindrome (1604774061).

The spelling of 1404430020 in words is "one billion, four hundred four million, four hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1358 1455 1746 1940 2037 2716 2910 3395 3492 4074 4365 5820 6111 6790 8148 8730 10185 11491 12222 13580 17460 20370 22982 24444 30555 34473 40740 45964 57455 61110 68946 80437 103419 114910 122220 137892 160874 172365 206838 229820 241311 321748 344730 402185 413676 482622 517095 689460 723933 804370 965244 1034190 1114627 1206555 1447866 1608740 2068380 2229254 2413110 2895732 3343881 3619665 4458508 4826220 5573135 6687762 7239330 7802389 10031643 11146270 13375524 14478660 15604778 16719405 20063286 22292540 23407167 31209556 33438810 39011945 40126572 46814334 50158215 66877620 70221501 78023890 93628668 100316430 117035835 140443002 156047780 200632860 234071670 280886004 351107505 468143340 702215010 1404430020