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1450653520 = 245172394463
BaseRepresentation
bin101011001110111…
…0011011101010000
310202002122211112011
41112131303131100
510432331403040
6355540312304
750643231361
oct12635633520
93662584464
101450653520
11684946508
123459a2694
131a1705484
14da939b68
158754d3ea
hex56773750

1450653520 has 80 divisors (see below), whose sum is σ = 3586913280. Its totient is φ = 543721472.

The previous prime is 1450653517. The next prime is 1450653541. The reversal of 1450653520 is 253560541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 322809 + ... + 327271.

It is an arithmetic number, because the mean of its divisors is an integer number (44836416).

Almost surely, 21450653520 is an apocalyptic number.

1450653520 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 1450653520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793456640).

1450653520 is an abundant number, since it is smaller than the sum of its proper divisors (2136259760).

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

1450653520 is a wasteful number, since it uses less digits than its factorization.

1450653520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 1450653520 is about 38087.4457006505. The cubic root of 1450653520 is about 1132.0212135020.

The spelling of 1450653520 in words is "one billion, four hundred fifty million, six hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 239 272 340 478 680 956 1195 1360 1912 2390 3824 4063 4463 4780 8126 8926 9560 16252 17852 19120 20315 22315 32504 35704 40630 44630 65008 71408 75871 81260 89260 151742 162520 178520 303484 325040 357040 379355 606968 758710 1066657 1213936 1517420 2133314 3034840 4266628 5333285 6069680 8533256 10666570 17066512 18133169 21333140 36266338 42666280 72532676 85332560 90665845 145065352 181331690 290130704 362663380 725326760 1450653520