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75016240 = 24513174243
BaseRepresentation
bin1000111100010…
…10100000110000
312020011012221021
410132022200300
5123201004430
611235505224
71600425145
oct436124060
9166135837
1075016240
11393878a2
1221158214
1312706b10
149d6a3cc
1568bc07a
hex478a830

75016240 has 80 divisors (see below), whose sum is σ = 198924768. Its totient is φ = 26062848.

The previous prime is 75016217. The next prime is 75016241. The reversal of 75016240 is 4261057.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (75016241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15559 + ... + 19801.

Almost surely, 275016240 is an apocalyptic number.

75016240 is the 7072-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75016240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99462384).

75016240 is an abundant number, since it is smaller than the sum of its proper divisors (123908528).

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

75016240 is a wasteful number, since it uses less digits than its factorization.

75016240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 75016240 is about 8661.1916039307. The cubic root of 75016240 is about 421.7467690019.

Adding to 75016240 its reverse (4261057), we get a palindrome (79277297).

The spelling of 75016240 in words is "seventy-five million, sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4243 4420 8486 8840 16972 17680 21215 33944 42430 55159 67888 72131 84860 110318 144262 169720 220636 275795 288524 339440 360655 441272 551590 577048 721310 882544 937703 1103180 1154096 1442620 1875406 2206360 2885240 3750812 4412720 4688515 5770480 7501624 9377030 15003248 18754060 37508120 75016240