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83235740 = 22571741853
BaseRepresentation
bin1001111011000…
…01001110011100
312210121210222012
410331201032130
5132302020430
612132010352
72030330540
oct475411634
9183553865
1083235740
1142a91275
1223a609b8
1314324123
14b0a9a20
157492695
hex4f6139c

83235740 has 96 divisors (see below), whose sum is σ = 216929664. Its totient is φ = 26173440.

The previous prime is 83235739. The next prime is 83235749. The reversal of 83235740 is 4753238.

It is a happy number.

It is a super-3 number, since 3×832357403 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83235697 and 83235706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83235749) 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, 97154 + ... + 98006.

It is an arithmetic number, because the mean of its divisors is an integer number (2259684).

Almost surely, 283235740 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 83235740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108464832).

83235740 is an abundant number, since it is smaller than the sum of its proper divisors (133693924).

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

83235740 is a wasteful number, since it uses less digits than its factorization.

83235740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 83235740 is about 9123.3623187945. The cubic root of 83235740 is about 436.6196545028.

Adding to 83235740 its reverse (4753238), we get a palindrome (87988978).

The spelling of 83235740 in words is "eighty-three million, two hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 41 68 70 82 85 119 140 164 170 205 238 287 340 410 476 574 595 697 820 853 1148 1190 1394 1435 1706 2380 2788 2870 3412 3485 4265 4879 5740 5971 6970 8530 9758 11942 13940 14501 17060 19516 23884 24395 29002 29855 34973 48790 58004 59710 69946 72505 97580 101507 119420 139892 145010 174865 203014 244811 290020 349730 406028 489622 507535 594541 699460 979244 1015070 1189082 1224055 2030140 2378164 2448110 2972705 4161787 4896220 5945410 8323574 11890820 16647148 20808935 41617870 83235740