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83123380 = 225231371319
BaseRepresentation
bin1001111010001…
…01110010110100
312210102002211201
410331011302310
5132234422010
612125342244
72026352134
oct475056264
9183362751
1083123380
1142a1490a
1223a07984
13142b4c42
14b07aac4
15746e23a
hex4f45cb4

83123380 has 48 divisors (see below), whose sum is σ = 183617280. Its totient is φ = 31547648.

The previous prime is 83123377. The next prime is 83123407. The reversal of 83123380 is 8332138.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62361 + ... + 63679.

It is an arithmetic number, because the mean of its divisors is an integer number (3825360).

Almost surely, 283123380 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 83123380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91808640).

83123380 is an abundant number, since it is smaller than the sum of its proper divisors (100493900).

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

83123380 is a wasteful number, since it uses less digits than its factorization.

83123380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 83123380 is about 9117.2024217958. The cubic root of 83123380 is about 436.4231016130.

The spelling of 83123380 in words is "eighty-three million, one hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 137 230 274 460 548 685 1319 1370 2638 2740 3151 5276 6302 6595 12604 13190 15755 26380 30337 31510 60674 63020 121348 151685 180703 303370 361406 606740 722812 903515 1807030 3614060 4156169 8312338 16624676 20780845 41561690 83123380