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20909880 = 23335191019
BaseRepresentation
bin100111111000…
…0111100111000
31110100022222000
41033300330320
520323104010
62024101000
7342505515
oct117607470
943308860
1020909880
11108919a2
127004760
134441614
142ac430c
151c807c0
hex13f0f38

20909880 has 128 divisors (see below), whose sum is σ = 73440000. Its totient is φ = 5277312.

The previous prime is 20909869. The next prime is 20909893. The reversal of 20909880 is 8890902.

It is a super-2 number, since 2×209098802 = 874446163228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20011 + ... + 21029.

It is an arithmetic number, because the mean of its divisors is an integer number (573750).

Almost surely, 220909880 is an apocalyptic number.

20909880 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 20909880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36720000).

20909880 is an abundant number, since it is smaller than the sum of its proper divisors (52530120).

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

20909880 is a wasteful number, since it uses less digits than its factorization.

20909880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 20909880 is about 4572.7322248301. The cubic root of 20909880 is about 275.4971942055.

The spelling of 20909880 in words is "twenty million, nine hundred nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1019 1026 1080 1140 1368 1710 2038 2052 2280 2565 3057 3420 4076 4104 5095 5130 6114 6840 8152 9171 10190 10260 12228 15285 18342 19361 20380 20520 24456 27513 30570 36684 38722 40760 45855 55026 58083 61140 73368 77444 91710 96805 110052 116166 122280 137565 154888 174249 183420 193610 220104 232332 275130 290415 348498 366840 387220 464664 522747 550260 580830 696996 774440 871245 1045494 1100520 1161660 1393992 1742490 2090988 2323320 2613735 3484980 4181976 5227470 6969960 10454940 20909880