Search a number
-
+
1431208480 = 255132392879
BaseRepresentation
bin101010101001110…
…1000001000100000
310200202001220221111
41111103220020200
510412342132410
6354003433104
750316033322
oct12523501040
93622056844
101431208480
11674975129
1233b385794
1319a687830
14d8117612
15859abb8a
hex554e8220

1431208480 has 96 divisors (see below), whose sum is σ = 3657830400. Its totient is φ = 526052352.

The previous prime is 1431208439. The next prime is 1431208501. The reversal of 1431208480 is 848021341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495681 + ... + 498559.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 21431208480 is an apocalyptic number.

1431208480 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 1431208480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

1431208480 is an abundant number, since it is smaller than the sum of its proper divisors (2226621920).

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

1431208480 is a wasteful number, since it uses less digits than its factorization.

1431208480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 1431208480 is about 37831.3161283083. The cubic root of 1431208480 is about 1126.9404483087.

The spelling of 1431208480 in words is "one billion, four hundred thirty-one million, two hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 239 260 416 478 520 956 1040 1195 1912 2080 2390 2879 3107 3824 4780 5758 6214 7648 9560 11516 12428 14395 15535 19120 23032 24856 28790 31070 37427 38240 46064 49712 57580 62140 74854 92128 99424 115160 124280 149708 187135 230320 248560 299416 374270 460640 497120 598832 688081 748540 1197664 1376162 1497080 2752324 2994160 3440405 5504648 5988320 6880810 8945053 11009296 13761620 17890106 22018592 27523240 35780212 44725265 55046480 71560424 89450530 110092960 143120848 178901060 286241696 357802120 715604240 1431208480