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20414880 = 2532514177
BaseRepresentation
bin100110111100…
…0000110100000
31102102011221200
41031320012200
520211234010
62005321200
7335344413
oct115700640
942364850
1020414880
1110584002
126a06200
1342ca215
1429d5b7a
151bd3cc0
hex13781a0

20414880 has 72 divisors (see below), whose sum is σ = 69670692. Its totient is φ = 5443584.

The previous prime is 20414879. The next prime is 20414893. The reversal of 20414880 is 8841402.

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 1648656 = 4332^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5649 + ... + 8528.

Almost surely, 220414880 is an apocalyptic number.

20414880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414880 is an abundant number, since it is smaller than the sum of its proper divisors (49255812).

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

20414880 is a wasteful number, since it uses less digits than its factorization.

20414880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14198 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 20414880 is about 4518.2828596714. The cubic root of 20414880 is about 273.3058601510.

The spelling of 20414880 in words is "twenty million, four hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 14177 28354 42531 56708 70885 85062 113416 127593 141770 170124 212655 226832 255186 283540 340248 425310 453664 510372 567080 637965 680496 850620 1020744 1134160 1275930 1360992 1701240 2041488 2268320 2551860 3402480 4082976 5103720 6804960 10207440 20414880