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83521340 = 225717191847
BaseRepresentation
bin1001111101001…
…10111100111100
312211011022201222
410332212330330
5132340140330
612142052512
72032630310
oct476467474
9184138658
1083521340
1143166901
1223b7a138
13143c4116
14b141b40
1574ec0e5
hex4fa6f3c

83521340 has 96 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 25519104.

The previous prime is 83521337. The next prime is 83521343. The reversal of 83521340 is 4312538.

It is an interprime number because it is at equal distance from previous prime (83521337) and next prime (83521343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83521343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44297 + ... + 46143.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 283521340 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 83521340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

83521340 is an abundant number, since it is smaller than the sum of its proper divisors (140012740).

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

83521340 is a wasteful number, since it uses less digits than its factorization.

83521340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 83521340 is about 9139.0010395010. The cubic root of 83521340 is about 437.1184635556.

Adding to 83521340 its reverse (4312538), we get a palindrome (87833878).

The spelling of 83521340 in words is "eighty-three million, five hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 68 70 76 85 95 119 133 140 170 190 238 266 323 340 380 476 532 595 646 665 1190 1292 1330 1615 1847 2261 2380 2660 3230 3694 4522 6460 7388 9044 9235 11305 12929 18470 22610 25858 31399 35093 36940 45220 51716 62798 64645 70186 125596 129290 140372 156995 175465 219793 245651 258580 313990 350930 439586 491302 596581 627980 701860 879172 982604 1098965 1193162 1228255 2197930 2386324 2456510 2982905 4176067 4395860 4913020 5965810 8352134 11931620 16704268 20880335 41760670 83521340