Search a number
-
+
75287340 = 223351071303
BaseRepresentation
bin1000111110011…
…00101100101100
312020122222211000
410133030230230
5123233143330
611245400300
71602634422
oct437145454
9166588730
1075287340
1139552547
1221269090
13127a032b
149ddb112
156922560
hex47ccb2c

75287340 has 96 divisors (see below), whose sum is σ = 236597760. Its totient is φ = 19873728.

The previous prime is 75287321. The next prime is 75287347. The reversal of 75287340 is 4378257.

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

It is a junction number, because it is equal to n+sod(n) for n = 75287295 and 75287304.

It is not an unprimeable number, because it can be changed into a prime (75287347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57129 + ... + 58431.

It is an arithmetic number, because the mean of its divisors is an integer number (2464560).

Almost surely, 275287340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75287340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118298880).

75287340 is an abundant number, since it is smaller than the sum of its proper divisors (161310420).

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

75287340 is a wasteful number, since it uses less digits than its factorization.

75287340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 75287340 is about 8676.8277613423. The cubic root of 75287340 is about 422.2542062054.

The spelling of 75287340 in words is "seventy-five million, two hundred eighty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1284 1303 1605 1926 2140 2606 2889 3210 3852 3909 4815 5212 5778 6420 6515 7818 9630 11556 11727 13030 14445 15636 19260 19545 23454 26060 28890 35181 39090 46908 57780 58635 70362 78180 117270 139421 140724 175905 234540 278842 351810 418263 557684 697105 703620 836526 1254789 1394210 1673052 2091315 2509578 2788420 3764367 4182630 5019156 6273945 7528734 8365260 12547890 15057468 18821835 25095780 37643670 75287340