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65490480 = 24325118269
BaseRepresentation
bin1111100111010…
…0111000110000
311120020021001100
43321310320300
5113231143410
610255404400
71423442226
oct371647060
9146207040
1065490480
1133a70a70
1219b23700
1310750083
1489aab16
155b398c0
hex3e74e30

65490480 has 120 divisors (see below), whose sum is σ = 239962320. Its totient is φ = 15874560.

The previous prime is 65490479. The next prime is 65490493. The reversal of 65490480 is 8409456.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3786 + ... + 12054.

It is an arithmetic number, because the mean of its divisors is an integer number (1999686).

Almost surely, 265490480 is an apocalyptic number.

65490480 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 65490480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119981160).

65490480 is an abundant number, since it is smaller than the sum of its proper divisors (174471840).

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

65490480 is a wasteful number, since it uses less digits than its factorization.

65490480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8299 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 65490480 is about 8092.6188591827. The cubic root of 65490480 is about 403.0813686328.

It can be divided in two parts, 65 and 490480, that added together give a triangular number (490545 = T990).

The spelling of 65490480 in words is "sixty-five million, four hundred ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 8269 16538 24807 33076 41345 49614 66152 74421 82690 90959 99228 124035 132304 148842 165380 181918 198456 248070 272877 297684 330760 363836 372105 396912 454795 496140 545754 595368 661520 727672 744210 818631 909590 992280 1091508 1190736 1364385 1455344 1488420 1637262 1819180 1984560 2183016 2728770 2976840 3274524 3638360 4093155 4366032 5457540 5953680 6549048 7276720 8186310 10915080 13098096 16372620 21830160 32745240 65490480