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20557380 = 2235794337
BaseRepresentation
bin100111001101…
…0111001000100
31102200102102110
41032122321010
520230314010
62012341020
7336510024
oct116327104
942612373
1020557380
1110671078
126a74770
13434a03c
142a31a84
151c11120
hex139ae44

20557380 has 48 divisors (see below), whose sum is σ = 58302720. Its totient is φ = 5411328.

The previous prime is 20557351. The next prime is 20557387. The reversal of 20557380 is 8375502.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20557387) 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, 2572 + ... + 6908.

It is an arithmetic number, because the mean of its divisors is an integer number (1214640).

Almost surely, 220557380 is an apocalyptic number.

20557380 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 20557380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29151360).

20557380 is an abundant number, since it is smaller than the sum of its proper divisors (37745340).

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

20557380 is a wasteful number, since it uses less digits than its factorization.

20557380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4428 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 20557380 is about 4534.0247021824. The cubic root of 20557380 is about 273.9402963671.

The spelling of 20557380 in words is "twenty million, five hundred fifty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4337 4740 8674 13011 17348 21685 26022 43370 52044 65055 86740 130110 260220 342623 685246 1027869 1370492 1713115 2055738 3426230 4111476 5139345 6852460 10278690 20557380