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65382480 = 24325711279
BaseRepresentation
bin1111100101101…
…0100001010000
311120000202220100
43321122201100
5113214214410
610253212400
71422512322
oct371324120
9146022810
1065382480
11339a7909
1219a91100
1310712b77
14897d612
155b178c0
hex3e5a850

65382480 has 120 divisors (see below), whose sum is σ = 222842880. Its totient is φ = 17176320.

The previous prime is 65382479. The next prime is 65382487. The reversal of 65382480 is 8428356.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65382487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50481 + ... + 51759.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 265382480 is an apocalyptic number.

65382480 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 65382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111421440).

65382480 is an abundant number, since it is smaller than the sum of its proper divisors (157460400).

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

65382480 is a wasteful number, since it uses less digits than its factorization.

65382480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 65382480 is about 8085.9433586935. The cubic root of 65382480 is about 402.8596736136.

The spelling of 65382480 in words is "sixty-five million, three hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 1065 1136 1278 1279 1420 1704 2130 2556 2558 2840 3195 3408 3837 4260 5112 5116 5680 6390 6395 7674 8520 10224 10232 11511 12780 12790 15348 17040 19185 20464 23022 25560 25580 30696 38370 46044 51120 51160 57555 61392 76740 90809 92088 102320 115110 153480 181618 184176 230220 272427 306960 363236 454045 460440 544854 726472 817281 908090 920880 1089708 1362135 1452944 1634562 1816180 2179416 2724270 3269124 3632360 4086405 4358832 5448540 6538248 7264720 8172810 10897080 13076496 16345620 21794160 32691240 65382480