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20883540 = 22352337409
BaseRepresentation
bin100111110101…
…0100001010100
31110021222211110
41033222201110
520321233130
62023335020
7342335646
oct117524124
943258743
1020883540
1110874127
126bb1470
134432632
142ab8896
151c77ab0
hex13ea854

20883540 has 96 divisors (see below), whose sum is σ = 62818560. Its totient is φ = 5170176.

The previous prime is 20883539. The next prime is 20883617. The reversal of 20883540 is 4538802.

It is a super-2 number, since 2×208835402 = 872244485863200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20883498 and 20883507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50856 + ... + 51264.

It is an arithmetic number, because the mean of its divisors is an integer number (654360).

Almost surely, 220883540 is an apocalyptic number.

20883540 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 20883540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31409280).

20883540 is an abundant number, since it is smaller than the sum of its proper divisors (41935020).

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

20883540 is a wasteful number, since it uses less digits than its factorization.

20883540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20883540 is about 4569.8512010787. The cubic root of 20883540 is about 275.3814650980.

The spelling of 20883540 in words is "twenty million, eight hundred eighty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 69 74 92 111 115 138 148 185 222 230 276 345 370 409 444 460 555 690 740 818 851 1110 1227 1380 1636 1702 2045 2220 2454 2553 3404 4090 4255 4908 5106 6135 8180 8510 9407 10212 12270 12765 15133 17020 18814 24540 25530 28221 30266 37628 45399 47035 51060 56442 60532 75665 90798 94070 112884 141105 151330 181596 188140 226995 282210 302660 348059 453990 564420 696118 907980 1044177 1392236 1740295 2088354 3480590 4176708 5220885 6961180 10441770 20883540