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20399400 = 23325271619
BaseRepresentation
bin100110111010…
…0010100101000
31102101101201100
41031310110220
520210240100
62005121400
7335251320
oct115642450
942341640
1020399400
111057340a
1269b9260
1342c3168
1429d0280
151bce400
hex1374528

20399400 has 144 divisors (see below), whose sum is σ = 78343200. Its totient is φ = 4659840.

The previous prime is 20399389. The next prime is 20399411. The reversal of 20399400 is 499302.

It is an interprime number because it is at equal distance from previous prime (20399389) and next prime (20399411).

It is a super-2 number, since 2×203994002 = 832271040720000, which contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11791 + ... + 13409.

It is an arithmetic number, because the mean of its divisors is an integer number (544050).

Almost surely, 220399400 is an apocalyptic number.

20399400 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 20399400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39171600).

20399400 is an abundant number, since it is smaller than the sum of its proper divisors (57943800).

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

20399400 is a wasteful number, since it uses less digits than its factorization.

20399400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20399400 is about 4516.5694946497. The cubic root of 20399400 is about 273.2367627651.

The spelling of 20399400 in words is "twenty million, three hundred ninety-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1619 1800 2100 2520 3150 3238 4200 4857 6300 6476 8095 9714 11333 12600 12952 14571 16190 19428 22666 24285 29142 32380 33999 38856 40475 45332 48570 56665 58284 64760 67998 72855 80950 90664 97140 101997 113330 116568 121425 135996 145710 161900 169995 194280 203994 226660 242850 271992 283325 291420 323800 339990 364275 407988 453320 485700 509985 566650 582840 679980 728550 815976 849975 971400 1019970 1133300 1359960 1457100 1699950 2039940 2266600 2549925 2914200 3399900 4079880 5099850 6799800 10199700 20399400