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20149920 = 2532571999
BaseRepresentation
bin100110011011…
…1011010100000
31101220201111100
41030313122200
520124244140
61555514400
7333162060
oct114673240
941821440
1020149920
1110412a2a
1268b8a00
13423673b
1429673a0
151b80530
hex13376a0

20149920 has 144 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 4603392.

The previous prime is 20149891. The next prime is 20149931. The reversal of 20149920 is 2994102.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9081 + ... + 11079.

It is an arithmetic number, because the mean of its divisors is an integer number (546000).

Almost surely, 220149920 is an apocalyptic number.

20149920 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 20149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

20149920 is an abundant number, since it is smaller than the sum of its proper divisors (58474080).

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

20149920 is a wasteful number, since it uses less digits than its factorization.

20149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20149920 is about 4488.8662265655. The cubic root of 20149920 is about 272.1183164618.

The spelling of 20149920 in words is "twenty million, one hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 1999 2016 2520 3360 3998 5040 5997 7996 9995 10080 11994 13993 15992 17991 19990 23988 27986 29985 31984 35982 39980 41979 47976 55972 59970 63968 69965 71964 79960 83958 89955 95952 111944 119940 125937 139930 143928 159920 167916 179910 191904 209895 223888 239880 251874 279860 287856 319840 335832 359820 419790 447776 479760 503748 559720 575712 629685 671664 719640 839580 959520 1007496 1119440 1259370 1343328 1439280 1679160 2014992 2238880 2518740 2878560 3358320 4029984 5037480 6716640 10074960 20149920