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20458380 = 2235349977
BaseRepresentation
bin100111000001…
…0101110001100
31102111101121210
41032002232030
520214132010
62010254420
7335615265
oct116025614
942441553
1020458380
1110603758
126a27410
134313c67
142a0796c
151be1b20
hex1382b8c

20458380 has 48 divisors (see below), whose sum is σ = 57506400. Its totient is φ = 5434368.

The previous prime is 20458351. The next prime is 20458381. The reversal of 20458380 is 8385402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20458381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20452 + ... + 21428.

It is an arithmetic number, because the mean of its divisors is an integer number (1198050).

Almost surely, 220458380 is an apocalyptic number.

20458380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20458380 is an abundant number, since it is smaller than the sum of its proper divisors (37048020).

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

20458380 is a wasteful number, since it uses less digits than its factorization.

20458380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20458380 is about 4523.0940737508. The cubic root of 20458380 is about 273.4998423620.

The spelling of 20458380 in words is "twenty million, four hundred fifty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 349 698 977 1047 1396 1745 1954 2094 2931 3490 3908 4188 4885 5235 5862 6980 9770 10470 11724 14655 19540 20940 29310 58620 340973 681946 1022919 1363892 1704865 2045838 3409730 4091676 5114595 6819460 10229190 20458380