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57027740 = 225711191949
BaseRepresentation
bin1101100110001…
…0110010011100
310222022022100112
43121202302130
5104044341430
65354145152
71261504430
oct331426234
9128268315
1057027740
112a210870
12171221b8
13ba79133
1478069c0
155017195
hex3662c9c

57027740 has 96 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 16830720.

The previous prime is 57027727. The next prime is 57027743. The reversal of 57027740 is 4772075.

It is a happy number.

57027740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57027697 and 57027706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57027743) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28286 + ... + 30234.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 257027740 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 57027740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

57027740 is an abundant number, since it is smaller than the sum of its proper divisors (100220260).

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

57027740 is a wasteful number, since it uses less digits than its factorization.

57027740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 32.

The square root of 57027740 is about 7551.6713381873. The cubic root of 57027740 is about 384.9125342433.

The spelling of 57027740 in words is "fifty-seven million, twenty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 1949 2090 2660 2926 3898 4180 5852 7315 7796 9745 13643 14630 19490 21439 27286 29260 37031 38980 42878 54572 68215 74062 85756 107195 136430 148124 150073 185155 214390 259217 272860 300146 370310 407341 428780 518434 600292 740620 750365 814682 1036868 1296085 1500730 1629364 2036705 2592170 2851387 3001460 4073410 5184340 5702774 8146820 11405548 14256935 28513870 57027740