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20675040 = 2535192267
BaseRepresentation
bin100111011011…
…1100111100000
31102220101211020
41032313213200
520243100130
62015045440
7340510041
oct116674740
942811736
1020675040
1110741511
126b10880
13438b769
142a628c8
151c35e10
hex13b79e0

20675040 has 96 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 5220864.

The previous prime is 20675033. The next prime is 20675041. The reversal of 20675040 is 4057602.

20675040 = T936 + T937 + ... + T980.

It is a happy number.

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 20675040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20675041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7987 + ... + 10253.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 220675040 is an apocalyptic number.

20675040 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 20675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

20675040 is an abundant number, since it is smaller than the sum of its proper divisors (47909280).

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

20675040 is a wasteful number, since it uses less digits than its factorization.

20675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 20675040 is about 4546.9814162805. The cubic root of 20675040 is about 274.4619341311.

The spelling of 20675040 in words is "twenty million, six hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2267 2280 3040 4534 4560 6801 9068 9120 11335 13602 18136 22670 27204 34005 36272 43073 45340 54408 68010 72544 86146 90680 108816 129219 136020 172292 181360 215365 217632 258438 272040 344584 362720 430730 516876 544080 646095 689168 861460 1033752 1088160 1292190 1378336 1722920 2067504 2584380 3445840 4135008 5168760 6891680 10337520 20675040