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65002140 = 223257232243
BaseRepresentation
bin1111011111110…
…1101010011100
311112022110011200
43313331222130
5113120032030
610241115500
71416336420
oct367755234
9145273150
1065002140
1133768085
1219928b90
131060ba08
1488c0b80
155a8ed60
hex3dfda9c

65002140 has 144 divisors (see below), whose sum is σ = 235243008. Its totient is φ = 14205312.

The previous prime is 65002139. The next prime is 65002151. The reversal of 65002140 is 4120056.

It is a happy number.

65002140 is a `hidden beast` number, since 650 + 0 + 2 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27859 + ... + 30101.

It is an arithmetic number, because the mean of its divisors is an integer number (1633632).

Almost surely, 265002140 is an apocalyptic number.

65002140 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 65002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117621504).

65002140 is an abundant number, since it is smaller than the sum of its proper divisors (170240868).

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

65002140 is a wasteful number, since it uses less digits than its factorization.

65002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 65002140 is about 8062.3904643722. The cubic root of 65002140 is about 402.0769882993.

Adding to 65002140 its reverse (4120056), we get a palindrome (69122196).

The spelling of 65002140 in words is "sixty-five million, two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2243 2415 2898 3220 4140 4486 4830 5796 6729 7245 8972 9660 11215 13458 14490 15701 20187 22430 26916 28980 31402 33645 40374 44860 47103 51589 62804 67290 78505 80748 94206 100935 103178 134580 141309 154767 157010 188412 201870 206356 235515 257945 282618 309534 314020 361123 403740 464301 471030 515890 565236 619068 706545 722246 773835 928602 942060 1031780 1083369 1413090 1444492 1547670 1805615 1857204 2166738 2321505 2826180 3095340 3250107 3611230 4333476 4643010 5416845 6500214 7222460 9286020 10833690 13000428 16250535 21667380 32501070 65002140