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1542444420 = 22351119312109
BaseRepresentation
bin101101111101111…
…1101010110000100
310222111101021222010
41123323331112010
511124331210140
6413015534220
753136363336
oct13373752604
93874337863
101542444420
11721740360
1237068a370
131b773360a
14108bd1456
1590630880
hex5befd584

1542444420 has 96 divisors (see below), whose sum is σ = 4736269440. Its totient is φ = 371957760.

The previous prime is 1542444413. The next prime is 1542444479. The reversal of 1542444420 is 244442451.

1542444420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121326 + ... + 133434.

It is an arithmetic number, because the mean of its divisors is an integer number (49336140).

Almost surely, 21542444420 is an apocalyptic number.

1542444420 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 1542444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368134720).

1542444420 is an abundant number, since it is smaller than the sum of its proper divisors (3193825020).

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

1542444420 is a wasteful number, since it uses less digits than its factorization.

1542444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12323 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 1542444420 is about 39273.9661862664. The cubic root of 1542444420 is about 1155.4110266658.

Adding to 1542444420 its reverse (244442451), we get a palindrome (1786886871).

The spelling of 1542444420 in words is "one billion, five hundred forty-two million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 193 220 330 386 579 660 772 965 1158 1930 2123 2316 2895 3860 4246 5790 6369 8492 10615 11580 12109 12738 21230 24218 25476 31845 36327 42460 48436 60545 63690 72654 121090 127380 133199 145308 181635 242180 266398 363270 399597 532796 665995 726540 799194 1331990 1598388 1997985 2337037 2663980 3995970 4674074 7011111 7991940 9348148 11685185 14022222 23370370 25707407 28044444 35055555 46740740 51414814 70111110 77122221 102829628 128537035 140222220 154244442 257074070 308488884 385611105 514148140 771222210 1542444420