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57341020 = 22511713671
BaseRepresentation
bin1101101010111…
…1010001011100
310222220020002111
43122233101130
5104134403040
65405003404
71264250662
oct332572134
9128806074
1057341020
112a405180
1217253564
13bb588c9
147888c32
155079dea
hex36af45c

57341020 has 48 divisors (see below), whose sum is σ = 133249536. Its totient is φ = 20552000.

The previous prime is 57341003. The next prime is 57341029. The reversal of 57341020 is 2014375.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 57340982 and 57341000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57341029) 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, 13785 + ... + 17455.

It is an arithmetic number, because the mean of its divisors is an integer number (2776032).

Almost surely, 257341020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624768).

57341020 is an abundant number, since it is smaller than the sum of its proper divisors (75908516).

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

57341020 is a wasteful number, since it uses less digits than its factorization.

57341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 57341020 is about 7572.3853573362. The cubic root of 57341020 is about 385.6160822565.

Adding to 57341020 its reverse (2014375), we get a palindrome (59355395).

The spelling of 57341020 in words is "fifty-seven million, three hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3671 3905 7342 7810 14684 15620 18355 36710 40381 73420 80762 161524 201905 260641 403810 521282 807620 1042564 1303205 2606410 2867051 5212820 5734102 11468204 14335255 28670510 57341020