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3232135680 = 2935420851
BaseRepresentation
bin1100000010100110…
…0111101000000000
322100020211111121220
43000221213220000
523104411320210
61252415515040
7143044462044
oct30051475000
98306744556
103232135680
111409502414
12762528a80
133c6810927
14229392024
1513db49c70
hexc0a67a00

3232135680 has 80 divisors (see below), whose sum is σ = 10332758304. Its totient is φ = 861900800.

The previous prime is 3232135679. The next prime is 3232135717. The reversal of 3232135680 is 865312323.

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

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 7 ways as a sum of consecutive naturals, for example, 202746 + ... + 218105.

Almost surely, 23232135680 is an apocalyptic number.

3232135680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3232135680 is an abundant number, since it is smaller than the sum of its proper divisors (7100622624).

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

3232135680 is an equidigital number, since it uses as much as digits as its factorization.

3232135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420877 (or 420861 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3232135680 is about 56851.8749031199. The cubic root of 3232135680 is about 1478.5290474111.

The spelling of 3232135680 in words is "three billion, two hundred thirty-two million, one hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 420851 841702 1262553 1683404 2104255 2525106 3366808 4208510 5050212 6312765 6733616 8417020 10100424 12625530 13467232 16834040 20200848 25251060 26934464 33668080 40401696 50502120 53868928 67336160 80803392 101004240 107737856 134672320 161606784 202008480 215475712 269344640 323213568 404016960 538689280 646427136 808033920 1077378560 1616067840 3232135680