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20675400 = 23352172027
BaseRepresentation
bin100111011011…
…1101101001000
31102220102022120
41032313231020
520243103100
62015051240
7340511064
oct116675510
942812276
1020675400
1110741809
126b10b20
13438b985
142a62aa4
151c360a0
hex13b7b48

20675400 has 96 divisors (see below), whose sum is σ = 67897440. Its totient is φ = 5186560.

The previous prime is 20675399. The next prime is 20675423. The reversal of 20675400 is 457602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9187 + ... + 11213.

It is an arithmetic number, because the mean of its divisors is an integer number (707265).

Almost surely, 220675400 is an apocalyptic number.

20675400 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 20675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33948720).

20675400 is an abundant number, since it is smaller than the sum of its proper divisors (47222040).

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

20675400 is a wasteful number, since it uses less digits than its factorization.

20675400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2054 counting only the distinct ones).

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

The square root of 20675400 is about 4547.0210028105. The cubic root of 20675400 is about 274.4635271264.

The spelling of 20675400 in words is "twenty million, six hundred seventy-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2027 2040 2550 3400 4054 5100 6081 8108 10135 10200 12162 16216 20270 24324 30405 34459 40540 48648 50675 60810 68918 81080 101350 103377 121620 137836 152025 172295 202700 206754 243240 275672 304050 344590 405400 413508 516885 608100 689180 827016 861475 1033770 1216200 1378360 1722950 2067540 2584425 3445900 4135080 5168850 6891800 10337700 20675400