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20099040 = 2535133221
BaseRepresentation
bin100110010101…
…0111111100000
31101211010200220
41030222333200
520121132130
61554443040
7332560533
oct114527740
941733626
1020099040
1110388785
126893480
134219530
142952a1a
151b70410
hex132afe0

20099040 has 96 divisors (see below), whose sum is σ = 68203296. Its totient is φ = 4945920.

The previous prime is 20099039. The next prime is 20099047. The reversal of 20099040 is 4099002.

It is a tau number, because it is divible by the number of its divisors (96).

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 20099040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20099047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4630 + ... + 7850.

It is an arithmetic number, because the mean of its divisors is an integer number (710451).

Almost surely, 220099040 is an apocalyptic number.

20099040 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 20099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34101648).

20099040 is an abundant number, since it is smaller than the sum of its proper divisors (48104256).

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

20099040 is a wasteful number, since it uses less digits than its factorization.

20099040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 20099040 is about 4483.1952890768. The cubic root of 20099040 is about 271.8890839579.

The spelling of 20099040 in words is "twenty million, ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 3221 6240 6442 9663 12884 16105 19326 25768 32210 38652 41873 48315 51536 64420 77304 83746 96630 103072 125619 128840 154608 167492 193260 209365 251238 257680 309216 334984 386520 418730 502476 515360 628095 669968 773040 837460 1004952 1256190 1339936 1546080 1674920 2009904 2512380 3349840 4019808 5024760 6699680 10049520 20099040