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57308020 = 225711217199
BaseRepresentation
bin1101101010011…
…1001101110100
310222211112211021
43122213031310
5104132324040
65404150524
71264052530
oct332471564
9128745737
1057308020
112a392400
1217238444
13bb46893
14787abc0
15507024a
hex36a7374

57308020 has 144 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 16727040.

The previous prime is 57308011. The next prime is 57308081. The reversal of 57308020 is 2080375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287881 + ... + 288079.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200).

Almost surely, 257308020 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 57308020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

57308020 is an abundant number, since it is smaller than the sum of its proper divisors (103568780).

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

57308020 is a wasteful number, since it uses less digits than its factorization.

57308020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 57308020 is about 7570.2060738133. The cubic root of 57308020 is about 385.5420934980.

Adding to 57308020 its reverse (2080375), we get a palindrome (59388395).

The spelling of 57308020 in words is "fifty-seven million, three hundred eight thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 121 140 154 170 187 199 220 238 242 308 340 374 385 398 476 484 595 605 748 770 796 847 935 995 1190 1210 1309 1393 1540 1694 1870 1990 2057 2189 2380 2420 2618 2786 3383 3388 3740 3980 4114 4235 4378 5236 5572 6545 6766 6965 8228 8470 8756 10285 10945 13090 13532 13930 14399 15323 16915 16940 20570 21890 23681 24079 26180 27860 28798 30646 33830 37213 41140 43780 47362 48158 57596 61292 67660 71995 74426 76615 94724 96316 118405 120395 143990 148852 153230 168553 186065 236810 240790 260491 287980 306460 337106 372130 409343 473620 481580 520982 674212 744260 818686 842765 1041964 1302455 1637372 1685530 2046715 2604910 2865401 3371060 4093430 5209820 5730802 8186860 11461604 14327005 28654010 57308020