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20455890 = 23571359127
BaseRepresentation
bin100111000001…
…0000111010010
31102111021012120
41032002013102
520214042030
62010235110
7335605110
oct116020722
942437176
1020455890
11106018a4
126a25a96
134312aa0
142a06ab0
151be1010
hex13821d2

20455890 has 128 divisors (see below), whose sum is σ = 61931520. Its totient is φ = 4209408.

The previous prime is 20455873. The next prime is 20455891. The reversal of 20455890 is 9855402.

20455890 = 312 + 322 + ... + 3942.

It is not an unprimeable number, because it can be changed into a prime (20455891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161007 + ... + 161133.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 220455890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20455890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965760).

20455890 is an abundant number, since it is smaller than the sum of its proper divisors (41475630).

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

20455890 is a wasteful number, since it uses less digits than its factorization.

20455890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 20455890 is about 4522.8188113167. The cubic root of 20455890 is about 273.4887459761.

The spelling of 20455890 in words is "twenty million, four hundred fifty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 59 65 70 78 91 105 118 127 130 177 182 195 210 254 273 295 354 381 390 413 455 546 590 635 762 767 826 885 889 910 1239 1270 1365 1534 1651 1770 1778 1905 2065 2301 2478 2667 2730 3302 3810 3835 4130 4445 4602 4953 5334 5369 6195 7493 7670 8255 8890 9906 10738 11505 11557 12390 13335 14986 16107 16510 22479 23010 23114 24765 26670 26845 32214 34671 37465 44958 49530 52451 53690 57785 69342 74930 80535 97409 104902 112395 115570 157353 161070 173355 194818 224790 262255 292227 314706 346710 487045 524510 584454 681863 786765 974090 1363726 1461135 1573530 2045589 2922270 3409315 4091178 6818630 10227945 20455890