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20540700 = 22325229787
BaseRepresentation
bin100111001011…
…0110100011100
31102122120112200
41032112310130
520224300300
62012131500
7336410265
oct116266434
942576480
1020540700
111065a594
126a66b90
13434257b
142a2996c
151c0b200
hex1396d1c

20540700 has 108 divisors (see below), whose sum is σ = 66688440. Its totient is φ = 5281920.

The previous prime is 20540699. The next prime is 20540719. The reversal of 20540700 is 704502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 25707 + ... + 26493.

Almost surely, 220540700 is an apocalyptic number.

20540700 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 20540700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33344220).

20540700 is an abundant number, since it is smaller than the sum of its proper divisors (46147740).

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

20540700 is a wasteful number, since it uses less digits than its factorization.

20540700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 20540700 is about 4532.1849035537. The cubic root of 20540700 is about 273.8661857471.

The spelling of 20540700 in words is "twenty million, five hundred forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 787 870 900 1044 1305 1450 1574 1740 2175 2361 2610 2900 3148 3935 4350 4722 5220 6525 7083 7870 8700 9444 11805 13050 14166 15740 19675 22823 23610 26100 28332 35415 39350 45646 47220 59025 68469 70830 78700 91292 114115 118050 136938 141660 177075 205407 228230 236100 273876 342345 354150 410814 456460 570575 684690 708300 821628 1027035 1141150 1369380 1711725 2054070 2282300 3423450 4108140 5135175 6846900 10270350 20540700