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1449640980 = 2232529331839
BaseRepresentation
bin101011001100111…
…1100010000010100
310202000202101120200
41112121330100110
510432102002410
6355502500500
750631513354
oct12631742024
93660671520
101449640980
116843147a7
12345594730
131a143c638
14da754b64
15873ed3c0
hex5667c414

1449640980 has 144 divisors (see below), whose sum is σ = 4568054400. Its totient is φ = 371669760.

The previous prime is 1449640963. The next prime is 1449640999. The reversal of 1449640980 is 890469441.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1727401 + ... + 1728239.

It is an arithmetic number, because the mean of its divisors is an integer number (31722600).

Almost surely, 21449640980 is an apocalyptic number.

1449640980 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 1449640980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284027200).

1449640980 is an abundant number, since it is smaller than the sum of its proper divisors (3118413420).

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

1449640980 is a wasteful number, since it uses less digits than its factorization.

1449640980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1449640980 is about 38074.1510739242. The cubic root of 1449640980 is about 1131.7577728000.

The spelling of 1449640980 in words is "one billion, four hundred forty-nine million, six hundred forty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 331 348 435 522 580 662 839 870 993 1044 1305 1324 1655 1678 1740 1986 2517 2610 2979 3310 3356 3972 4195 4965 5034 5220 5958 6620 7551 8390 9599 9930 10068 11916 12585 14895 15102 16780 19198 19860 24331 25170 28797 29790 30204 37755 38396 47995 48662 50340 57594 59580 72993 75510 86391 95990 97324 115188 121655 143985 145986 151020 172782 191980 218979 243310 277709 287970 291972 345564 364965 431955 437958 486620 555418 575940 729930 833127 863910 875916 1094895 1110836 1388545 1459860 1666254 1727820 2189790 2499381 2777090 3332508 4165635 4379580 4998762 5554180 8053561 8331270 9997524 12496905 16107122 16662540 24160683 24993810 32214244 40267805 48321366 49987620 72482049 80535610 96642732 120803415 144964098 161071220 241606830 289928196 362410245 483213660 724820490 1449640980