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65041920 = 29335941
BaseRepresentation
bin1111100000011…
…1011000000000
311112101110202000
43320013120000
5113122320140
610242024000
71416563406
oct370073000
9145343660
1065041920
1133794a59
1219948000
1310623b58
1488d1476
155a9ba30
hex3e07600

65041920 has 160 divisors (see below), whose sum is σ = 231279840. Its totient is φ = 17326080.

The previous prime is 65041913. The next prime is 65041931. The reversal of 65041920 is 2914056.

65041920 is a `hidden beast` number, since 650 + 4 + 1 + 9 + 2 + 0 = 666.

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 a congruent number.

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, 68650 + ... + 69590.

It is an arithmetic number, because the mean of its divisors is an integer number (1445499).

Almost surely, 265041920 is an apocalyptic number.

65041920 is a gapful number since it is divisible by the number (60) 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 65041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115639920).

65041920 is an abundant number, since it is smaller than the sum of its proper divisors (166237920).

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

65041920 is an equidigital number, since it uses as much as digits as its factorization.

65041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 65041920 is about 8064.8570973080. The cubic root of 65041920 is about 402.1589925784.

Adding to 65041920 its reverse (2914056), we get a palindrome (67955976).

The spelling of 65041920 in words is "sixty-five million, forty-one thousand, nine hundred twenty".

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 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 941 960 1080 1152 1280 1440 1536 1728 1882 1920 2160 2304 2560 2823 2880 3456 3764 3840 4320 4608 4705 5646 5760 6912 7528 7680 8469 8640 9410 11292 11520 13824 14115 15056 16938 17280 18820 22584 23040 25407 28230 30112 33876 34560 37640 42345 45168 50814 56460 60224 67752 69120 75280 84690 90336 101628 112920 120448 127035 135504 150560 169380 180672 203256 225840 240896 254070 271008 301120 338760 361344 406512 451680 481792 508140 542016 602240 677520 722688 813024 903360 1016280 1084032 1204480 1355040 1445376 1626048 1806720 2032560 2168064 2408960 2710080 3252096 3613440 4065120 4336128 5420160 6504192 7226880 8130240 10840320 13008384 16260480 21680640 32520960 65041920