Search a number
-
+
56907000 = 2332536323
BaseRepresentation
bin1101100100010…
…1010011111000
310222002011201200
43121011103320
5104032011000
65351414200
71260462423
oct331052370
9128064650
1056907000
112a139087
1217084360
13ba361a7
1477b49ba
154ee1500
hex36454f8

56907000 has 96 divisors (see below), whose sum is σ = 192376080. Its totient is φ = 15172800.

The previous prime is 56906981. The next prime is 56907013. The reversal of 56907000 is 70965.

56907000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5839 + ... + 12161.

Almost surely, 256907000 is an apocalyptic number.

56907000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56907000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96188040).

56907000 is an abundant number, since it is smaller than the sum of its proper divisors (135469080).

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

56907000 is a wasteful number, since it uses less digits than its factorization.

56907000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 56907000 is about 7543.6728455044. The cubic root of 56907000 is about 384.6406947447.

Adding to 56907000 its reverse (70965), we get a palindrome (56977965).

The spelling of 56907000 in words is "fifty-six million, nine hundred seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 6323 9000 12646 18969 25292 31615 37938 50584 56907 63230 75876 94845 113814 126460 151752 158075 189690 227628 252920 284535 316150 379380 455256 474225 569070 632300 758760 790375 948450 1138140 1264600 1422675 1580750 1896900 2276280 2371125 2845350 3161500 3793800 4742250 5690700 6323000 7113375 9484500 11381400 14226750 18969000 28453500 56907000