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57014320 = 2451167967
BaseRepresentation
bin1101100101111…
…1100000110000
310222021121221111
43121133200300
5104043424240
65354003104
71261420336
oct331374060
9128247844
1057014320
112a201780
1217116494
13ba72cac
147801b56
1550131ea
hex365f830

57014320 has 80 divisors (see below), whose sum is σ = 146919168. Its totient is φ = 20401920.

The previous prime is 57014317. The next prime is 57014327. The reversal of 57014320 is 2341075.

57014320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 57014291 and 57014300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57014327) 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 15 ways as a sum of consecutive naturals, for example, 58477 + ... + 59443.

Almost surely, 257014320 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 57014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73459584).

57014320 is an abundant number, since it is smaller than the sum of its proper divisors (89904848).

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

57014320 is a wasteful number, since it uses less digits than its factorization.

57014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1052 counting only the distinct ones).

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

The square root of 57014320 is about 7550.7827408819. The cubic root of 57014320 is about 384.8823388129.

Adding to 57014320 its reverse (2341075), we get a palindrome (59355395).

The spelling of 57014320 in words is "fifty-seven million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 670 737 880 967 1072 1340 1474 1934 2680 2948 3685 3868 4835 5360 5896 7370 7736 9670 10637 11792 14740 15472 19340 21274 29480 38680 42548 53185 58960 64789 77360 85096 106370 129578 170192 212740 259156 323945 425480 518312 647890 712679 850960 1036624 1295780 1425358 2591560 2850716 3563395 5183120 5701432 7126790 11402864 14253580 28507160 57014320