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83342520 = 2334529887
BaseRepresentation
bin1001111011110…
…11010010111000
312210211020110000
410331323102320
5132313430040
612134153000
72031254052
oct475732270
9183736400
1083342520
1143054518
1223ab2760
1314360901
14b0d68d2
1574b4130
hex4f7b4b8

83342520 has 160 divisors (see below), whose sum is σ = 290109600. Its totient is φ = 21434112.

The previous prime is 83342503. The next prime is 83342521. The reversal of 83342520 is 2524338.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83342521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93517 + ... + 94403.

It is an arithmetic number, because the mean of its divisors is an integer number (1813185).

Almost surely, 283342520 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 83342520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145054800).

83342520 is an abundant number, since it is smaller than the sum of its proper divisors (206767080).

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

83342520 is a wasteful number, since it uses less digits than its factorization.

83342520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 83342520 is about 9129.2124523422. The cubic root of 83342520 is about 436.8062823635.

Adding to 83342520 its reverse (2524338), we get a palindrome (85866858).

The spelling of 83342520 in words is "eighty-three million, three hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 887 1044 1080 1160 1305 1566 1620 1740 1774 2088 2349 2610 2661 3132 3240 3480 3548 3915 4435 4698 5220 5322 6264 7096 7830 7983 8870 9396 10440 10644 11745 13305 15660 15966 17740 18792 21288 23490 23949 25723 26610 31320 31932 35480 39915 46980 47898 51446 53220 63864 71847 77169 79830 93960 95796 102892 106440 119745 128615 143694 154338 159660 191592 205784 231507 239490 257230 287388 308676 319320 359235 385845 463014 478980 514460 574776 617352 694521 718470 771690 926028 957960 1028920 1157535 1389042 1436940 1543380 1852056 2083563 2315070 2778084 2873880 3086760 3472605 4167126 4630140 5556168 6945210 8334252 9260280 10417815 13890420 16668504 20835630 27780840 41671260 83342520