Search a number
-
+
51356160 = 29335743
BaseRepresentation
bin1100001111101…
…0001000000000
310120122011102000
43003322020000
5101121344120
65032424000
71162343262
oct303721000
9116564360
1051356160
1126a97709
1215248000
13a84177b
146b6bb32
154796990
hex30fa200

51356160 has 160 divisors (see below), whose sum is σ = 182666880. Its totient is φ = 13676544.

The previous prime is 51356159. The next prime is 51356197. The reversal of 51356160 is 6165315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68749 + ... + 69491.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 251356160 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 51356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91333440).

51356160 is an abundant number, since it is smaller than the sum of its proper divisors (131310720).

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

51356160 is an equidigital number, since it uses as much as digits as its factorization.

51356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 51356160 is about 7166.3212319851. The cubic root of 51356160 is about 371.7042394220.

The spelling of 51356160 in words is "fifty-one million, three hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 743 768 864 960 1080 1152 1280 1440 1486 1536 1728 1920 2160 2229 2304 2560 2880 2972 3456 3715 3840 4320 4458 4608 5760 5944 6687 6912 7430 7680 8640 8916 11145 11520 11888 13374 13824 14860 17280 17832 20061 22290 23040 23776 26748 29720 33435 34560 35664 40122 44580 47552 53496 59440 66870 69120 71328 80244 89160 95104 100305 106992 118880 133740 142656 160488 178320 190208 200610 213984 237760 267480 285312 320976 356640 380416 401220 427968 475520 534960 570624 641952 713280 802440 855936 951040 1069920 1141248 1283904 1426560 1604880 1711872 1902080 2139840 2567808 2853120 3209760 3423744 4279680 5135616 5706240 6419520 8559360 10271232 12839040 17118720 25678080 51356160