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20025408 = 2631371113
BaseRepresentation
bin100110001100…
…1000001000000
31101200101200210
41030121001000
520111303113
61553114120
7332133054
oct114310100
941611623
1020025408
1110338427
126858940
1341c1b70
142933c64
151b586c3
hex1319040

20025408 has 112 divisors (see below), whose sum is σ = 58375296. Its totient is φ = 6021120.

The previous prime is 20025403. The next prime is 20025409. The reversal of 20025408 is 80452002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20025403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177160 + ... + 177272.

It is an arithmetic number, because the mean of its divisors is an integer number (521208).

Almost surely, 220025408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20025408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29187648).

20025408 is an abundant number, since it is smaller than the sum of its proper divisors (38349888).

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

20025408 is a wasteful number, since it uses less digits than its factorization.

20025408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 20025408 is about 4474.9757541243. The cubic root of 20025408 is about 271.5566595558.

The spelling of 20025408 in words is "twenty million, twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 113 142 156 192 208 213 226 284 312 339 416 426 452 568 624 678 832 852 904 923 1136 1248 1356 1469 1704 1808 1846 2272 2496 2712 2769 2938 3408 3616 3692 4407 4544 5424 5538 5876 6816 7232 7384 8023 8814 10848 11076 11752 13632 14768 16046 17628 21696 22152 23504 24069 29536 32092 35256 44304 47008 48138 59072 64184 70512 88608 94016 96276 104299 128368 141024 177216 192552 208598 256736 282048 312897 385104 417196 513472 625794 770208 834392 1251588 1540416 1668784 2503176 3337568 5006352 6675136 10012704 20025408