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57078420 = 22357373673
BaseRepresentation
bin1101100110111…
…1001010010100
310222101212212120
43121233022110
5104103002140
65355215540
71262105250
oct331571224
9128355776
1057078420
112a245953
12171475b0
13ba96219
14781b260
1550271d0
hex366f294

57078420 has 96 divisors (see below), whose sum is σ = 187638528. Its totient is φ = 12690432.

The previous prime is 57078419. The next prime is 57078421. The reversal of 57078420 is 2487075.

It is an interprime number because it is at equal distance from previous prime (57078419) and next prime (57078421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57078421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13704 + ... + 17376.

It is an arithmetic number, because the mean of its divisors is an integer number (1954568).

Almost surely, 257078420 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 57078420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93819264).

57078420 is an abundant number, since it is smaller than the sum of its proper divisors (130560108).

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

57078420 is a wasteful number, since it uses less digits than its factorization.

57078420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 57078420 is about 7555.0261415828. The cubic root of 57078420 is about 385.0265231629.

The spelling of 57078420 in words is "fifty-seven million, seventy-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3673 3885 5180 7346 7770 11019 14692 15540 18365 22038 25711 36730 44076 51422 55095 73460 77133 102844 110190 128555 135901 154266 220380 257110 271802 308532 385665 407703 514220 543604 679505 771330 815406 951307 1359010 1542660 1630812 1902614 2038515 2718020 2853921 3805228 4077030 4756535 5707842 8154060 9513070 11415684 14269605 19026140 28539210 57078420