Search a number
-
+
675028320 = 25353134493
BaseRepresentation
bin101000001111000…
…001110101100000
31202001011222202220
4220033001311200
52340301401240
6150552111040
722504434411
oct5017016540
91661158686
10675028320
1131704384a
1216a095480
13a9b08055
1465917808
153e3dd5d0
hex283c1d60

675028320 has 96 divisors (see below), whose sum is σ = 2133607392. Its totient is φ = 179392512.

The previous prime is 675028313. The next prime is 675028327. The reversal of 675028320 is 23820576.

It is an interprime number because it is at equal distance from previous prime (675028313) and next prime (675028327).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675028327) 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, 147994 + ... + 152486.

It is an arithmetic number, because the mean of its divisors is an integer number (22225077).

Almost surely, 2675028320 is an apocalyptic number.

675028320 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 675028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066803696).

675028320 is an abundant number, since it is smaller than the sum of its proper divisors (1458579072).

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

675028320 is a wasteful number, since it uses less digits than its factorization.

675028320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 675028320 is about 25981.3071264708. The cubic root of 675028320 is about 877.2175891712.

Adding to 675028320 its reverse (23820576), we get a palindrome (698848896).

The spelling of 675028320 in words is "six hundred seventy-five million, twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 313 480 626 939 1252 1565 1878 2504 3130 3756 4493 4695 5008 6260 7512 8986 9390 10016 12520 13479 15024 17972 18780 22465 25040 26958 30048 35944 37560 44930 50080 53916 67395 71888 75120 89860 107832 134790 143776 150240 179720 215664 269580 359440 431328 539160 718880 1078320 1406309 2156640 2812618 4218927 5625236 7031545 8437854 11250472 14063090 16875708 21094635 22500944 28126180 33751416 42189270 45001888 56252360 67502832 84378540 112504720 135005664 168757080 225009440 337514160 675028320