Search a number
-
+
51660700 = 22527213811
BaseRepresentation
bin1100010100010…
…0011110011100
310121012122011021
43011010132130
5101211120300
65043133524
71165052200
oct305043634
9117178137
1051660700
11271854a3
12153742a4
13a91a280
146c0ab00
154806d1a
hex314479c

51660700 has 108 divisors (see below), whose sum is σ = 140610792. Its totient is φ = 16329600.

The previous prime is 51660683. The next prime is 51660701. The reversal of 51660700 is 706615.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51660701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63295 + ... + 64105.

Almost surely, 251660700 is an apocalyptic number.

51660700 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 51660700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70305396).

51660700 is an abundant number, since it is smaller than the sum of its proper divisors (88950092).

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

51660700 is a wasteful number, since it uses less digits than its factorization.

51660700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 51660700 is about 7187.5378259874. The cubic root of 51660700 is about 372.4375223654.

It can be divided in two parts, 516 and 60700, that added together give a palindrome (61216).

The spelling of 51660700 in words is "fifty-one million, six hundred sixty thousand, seven hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 811 910 980 1225 1274 1300 1622 1820 2275 2450 2548 3185 3244 4055 4550 4900 5677 6370 8110 9100 10543 11354 12740 15925 16220 20275 21086 22708 28385 31850 39739 40550 42172 52715 56770 63700 73801 79478 81100 105430 113540 141925 147602 158956 198695 210860 263575 283850 295204 369005 397390 516607 527150 567700 738010 794780 993475 1033214 1054300 1476020 1845025 1986950 2066428 2583035 3690050 3973900 5166070 7380100 10332140 12915175 25830350 51660700