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65114940 = 22351128969
BaseRepresentation
bin1111100001100…
…1001100111100
311112112011220110
43320121030330
5113132134230
610243350020
71420316322
oct370311474
9145464813
1065114940
1133834900
1219982310
131064b167
14890dd12
155ab34b0
hex3e1933c

65114940 has 72 divisors (see below), whose sum is σ = 200425680. Its totient is φ = 15783680.

The previous prime is 65114927. The next prime is 65114963. The reversal of 65114940 is 4941156.

It is a happy number.

It is a super-2 number, since 2×651149402 = 8479910822407200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 65114898 and 65114907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2776 + ... + 11744.

It is an arithmetic number, because the mean of its divisors is an integer number (2783690).

Almost surely, 265114940 is an apocalyptic number.

65114940 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 65114940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100212840).

65114940 is an abundant number, since it is smaller than the sum of its proper divisors (135310740).

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

65114940 is a wasteful number, since it uses less digits than its factorization.

65114940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9003 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 65114940 is about 8069.3828760321. The cubic root of 65114940 is about 402.3094323116.

The spelling of 65114940 in words is "sixty-five million, one hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 8969 17938 26907 35876 44845 53814 89690 98659 107628 134535 179380 197318 269070 295977 394636 493295 538140 591954 986590 1085249 1183908 1479885 1973180 2170498 2959770 3255747 4340996 5426245 5919540 6511494 10852490 13022988 16278735 21704980 32557470 65114940