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20455080 = 23351737271
BaseRepresentation
bin100111000000…
…1111010101000
31102111020002120
41032001322220
520214030310
62010231240
7335602542
oct116017250
942436076
1020455080
1110601228
126a25520
1343125c9
142a06692
151be0b70
hex1381ea8

20455080 has 128 divisors (see below), whose sum is σ = 66977280. Its totient is φ = 4976640.

The previous prime is 20455051. The next prime is 20455081. The reversal of 20455080 is 8055402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20455080.

It is not an unprimeable number, because it can be changed into a prime (20455081) 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 31 ways as a sum of consecutive naturals, for example, 75345 + ... + 75615.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 220455080 is an apocalyptic number.

20455080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20455080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33488640).

20455080 is an abundant number, since it is smaller than the sum of its proper divisors (46522200).

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

20455080 is a wasteful number, since it uses less digits than its factorization.

20455080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 20455080 is about 4522.7292645039. The cubic root of 20455080 is about 273.4851361143.

The spelling of 20455080 in words is "twenty million, four hundred fifty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 271 296 340 370 408 444 510 542 555 629 680 740 813 888 1020 1084 1110 1258 1355 1480 1626 1887 2040 2168 2220 2516 2710 3145 3252 3774 4065 4440 4607 5032 5420 6290 6504 7548 8130 9214 9435 10027 10840 12580 13821 15096 16260 18428 18870 20054 23035 25160 27642 30081 32520 36856 37740 40108 46070 50135 55284 60162 69105 75480 80216 92140 100270 110568 120324 138210 150405 170459 184280 200540 240648 276420 300810 340918 401080 511377 552840 601620 681836 852295 1022754 1203240 1363672 1704590 2045508 2556885 3409180 4091016 5113770 6818360 10227540 20455080