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20485608 = 233111347127
BaseRepresentation
bin100111000100…
…1010111101000
31102112202222020
41032021113220
520221014413
62011024440
7336060543
oct116112750
942482866
1020485608
1110622160
126a3b120
134323480
142a1385a
151be9c23
hex13895e8

20485608 has 128 divisors (see below), whose sum is σ = 61931520. Its totient is φ = 5564160.

The previous prime is 20485607. The next prime is 20485627. The reversal of 20485608 is 80658402.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20485601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161241 + ... + 161367.

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

Almost surely, 220485608 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 20485608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965760).

20485608 is an abundant number, since it is smaller than the sum of its proper divisors (41445912).

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

20485608 is a wasteful number, since it uses less digits than its factorization.

20485608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 20485608 is about 4526.1029595006. The cubic root of 20485608 is about 273.6211219629.

The spelling of 20485608 in words is "twenty million, four hundred eighty-five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 47 52 66 78 88 94 104 127 132 141 143 156 188 254 264 282 286 312 376 381 429 508 517 564 572 611 762 858 1016 1034 1128 1144 1222 1397 1524 1551 1651 1716 1833 2068 2444 2794 3048 3102 3302 3432 3666 4136 4191 4888 4953 5588 5969 6204 6604 6721 7332 8382 9906 11176 11938 12408 13208 13442 14664 16764 17907 18161 19812 20163 23876 26884 33528 35814 36322 39624 40326 47752 53768 54483 65659 71628 72644 77597 80652 108966 131318 143256 145288 155194 161304 196977 217932 232791 262636 310388 393954 435864 465582 525272 620776 787908 853567 931164 1575816 1707134 1862328 2560701 3414268 5121402 6828536 10242804 20485608