Search a number
-
+
51134720 = 285713439
BaseRepresentation
bin1100001100010…
…0000100000000
310120012220122112
43003010010000
5101042302340
65023554452
71160431550
oct303040400
9116186575
1051134720
11269562aa
121515ba28
13a794a40
146b11160
154751065
hex30c4100

51134720 has 144 divisors (see below), whose sum is σ = 151092480. Its totient is φ = 16146432.

The previous prime is 51134693. The next prime is 51134729. The reversal of 51134720 is 2743115.

It is a super-2 number, since 2×511347202 = 5229519178956800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51134729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116261 + ... + 116699.

Almost surely, 251134720 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 51134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75546240).

51134720 is an abundant number, since it is smaller than the sum of its proper divisors (99957760).

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

51134720 is a wasteful number, since it uses less digits than its factorization.

51134720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 51134720 is about 7150.8544943944. The cubic root of 51134720 is about 371.1692255502.

Adding to 51134720 its reverse (2743115), we get a palindrome (53877835).

The spelling of 51134720 in words is "fifty-one million, one hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 439 448 455 520 560 640 728 832 878 896 910 1040 1120 1280 1456 1664 1756 1792 1820 2080 2195 2240 2912 3073 3328 3512 3640 4160 4390 4480 5707 5824 6146 7024 7280 8320 8780 8960 11414 11648 12292 14048 14560 15365 16640 17560 22828 23296 24584 28096 28535 29120 30730 35120 39949 45656 49168 56192 57070 58240 61460 70240 79898 91312 98336 112384 114140 116480 122920 140480 159796 182624 196672 199745 228280 245840 280960 319592 365248 393344 399490 456560 491680 561920 639184 730496 786688 798980 913120 983360 1278368 1460992 1597960 1826240 1966720 2556736 3195920 3652480 3933440 5113472 6391840 7304960 10226944 12783680 25567360 51134720