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32480640 = 273255639
BaseRepresentation
bin111101111100…
…1110110000000
32021010012001200
41323321312000
531303340030
63120101200
7543036513
oct173716600
967105050
1032480640
1117375205
12aa64800
13696311a
144456d7a
152cb8d60
hex1ef9d80

32480640 has 96 divisors (see below), whose sum is σ = 112179600. Its totient is φ = 8659968.

The previous prime is 32480603. The next prime is 32480641. The reversal of 32480640 is 4608423.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32480641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2941 + ... + 8579.

Almost surely, 232480640 is an apocalyptic number.

32480640 is a gapful number since it is divisible by the number (30) 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 32480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56089800).

32480640 is an abundant number, since it is smaller than the sum of its proper divisors (79698960).

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

32480640 is a wasteful number, since it uses less digits than its factorization.

32480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 32480640 is about 5699.1788882259. The cubic root of 32480640 is about 319.0618355445.

The spelling of 32480640 in words is "thirty-two million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5639 5760 11278 16917 22556 28195 33834 45112 50751 56390 67668 84585 90224 101502 112780 135336 169170 180448 203004 225560 253755 270672 338340 360896 406008 451120 507510 541344 676680 721792 812016 902240 1015020 1082688 1353360 1624032 1804480 2030040 2165376 2706720 3248064 3608960 4060080 5413440 6496128 8120160 10826880 16240320 32480640