Search a number
-
+
57816940 = 22523374379
BaseRepresentation
bin1101110010001…
…1011101101100
311000210101221011
43130203131230
5104300120230
65423115004
71301302336
oct334433554
9130711834
1057816940
112a6aa7a5
1217442a64
13bc9440c
147970456
155120e2a
hex372376c

57816940 has 96 divisors (see below), whose sum is σ = 134830080. Its totient is φ = 20756736.

The previous prime is 57816937. The next prime is 57816961. The reversal of 57816940 is 4961875.

It is a junction number, because it is equal to n+sod(n) for n = 57816893 and 57816902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731821 + ... + 731899.

It is an arithmetic number, because the mean of its divisors is an integer number (1404480).

It is a vampire number, since it can be written as 67948510 (with its own digits).

Almost surely, 257816940 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 57816940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67415040).

57816940 is an abundant number, since it is smaller than the sum of its proper divisors (77013140).

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

57816940 is a wasteful number, since it uses less digits than its factorization.

57816940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 57816940 is about 7603.7451298686. The cubic root of 57816940 is about 386.6799919440.

It can be divided in two parts, 5781 and 6940, that added together give a palindrome (12721).

The spelling of 57816940 in words is "fifty-seven million, eight hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 37 43 46 74 79 86 92 115 148 158 172 185 215 230 316 370 395 430 460 740 790 851 860 989 1580 1591 1702 1817 1978 2923 3182 3397 3404 3634 3956 4255 4945 5846 6364 6794 7268 7955 8510 9085 9890 11692 13588 14615 15910 16985 17020 18170 19780 29230 31820 33970 36340 36593 58460 67229 67940 73186 78131 125689 134458 146372 156262 182965 251378 268916 312524 336145 365930 390655 502756 628445 672290 731860 781310 1256890 1344580 1562620 2513780 2890847 5781694 11563388 14454235 28908470 57816940