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20090060880 = 2435293193113
BaseRepresentation
bin10010101101011101…
…100000000001010000
31220212002222211112220
4102231131200001100
5312121023422010
613121303421040
71310564462031
oct225535400120
956762884486
1020090060880
11857a3520aa
123a88154780
131b8224b4b6
14d8824aa88
157c8b0a970
hex4ad760050

20090060880 has 160 divisors (see below), whose sum is σ = 66505743360. Its totient is φ = 5005701120.

The previous prime is 20090060867. The next prime is 20090060923. The reversal of 20090060880 is 8806009002.

It is a super-2 number, since 2×200900608802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169204 + ... + 262316.

It is an arithmetic number, because the mean of its divisors is an integer number (415660896).

Almost surely, 220090060880 is an apocalyptic number.

20090060880 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 20090060880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33252871680).

20090060880 is an abundant number, since it is smaller than the sum of its proper divisors (46415682480).

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

20090060880 is a wasteful number, since it uses less digits than its factorization.

20090060880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93189 (or 93183 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

Adding to 20090060880 its reverse (8806009002), we get a palindrome (28896069882).

The spelling of 20090060880 in words is "twenty billion, ninety million, sixty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 31 40 48 58 60 62 80 87 93 116 120 124 145 155 174 186 232 240 248 290 310 348 372 435 464 465 496 580 620 696 744 870 899 930 1160 1240 1392 1488 1740 1798 1860 2320 2480 2697 3480 3596 3720 4495 5394 6960 7192 7440 8990 10788 13485 14384 17980 21576 26970 35960 43152 53940 71920 93113 107880 186226 215760 279339 372452 465565 558678 744904 931130 1117356 1396695 1489808 1862260 2234712 2700277 2793390 2886503 3724520 4469424 5400554 5586780 5773006 7449040 8100831 8659509 10801108 11173560 11546012 13501385 14432515 16201662 17319018 21602216 22347120 23092024 27002770 28865030 32403324 34638036 40504155 43204432 43297545 46184048 54005540 57730060 64806648 69276072 81008310 83708587 86595090 108011080 115460120 129613296 138552144 162016620 167417174 173190180 216022160 230920240 251125761 324033240 334834348 346380360 418542935 502251522 648066480 669668696 692760720 837085870 1004503044 1255628805 1339337392 1674171740 2009006088 2511257610 3348343480 4018012176 5022515220 6696686960 10045030440 20090060880