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83397006 = 23371131647
BaseRepresentation
bin1001111100010…
…00100110001110
312210221000012000
410332020212032
5132322201011
612135253130
72031601650
oct476104616
9183830160
1083397006
1143091450
1223b1a1a6
131437c654
14b10c6d0
1574c5356
hex4f8898e

83397006 has 128 divisors (see below), whose sum is σ = 238878720. Its totient is φ = 20930400.

The previous prime is 83396959. The next prime is 83397007. The reversal of 83397006 is 60079338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83397007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128575 + ... + 129221.

It is an arithmetic number, because the mean of its divisors is an integer number (1866240).

Almost surely, 283397006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83397006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119439360).

83397006 is an abundant number, since it is smaller than the sum of its proper divisors (155481714).

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

83397006 is a wasteful number, since it uses less digits than its factorization.

83397006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 83397006 is about 9132.1961214157. The cubic root of 83397006 is about 436.9014504422.

The spelling of 83397006 in words is "eighty-three million, three hundred ninety-seven thousand, six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 31 33 42 54 62 63 66 77 93 99 126 154 186 189 198 217 231 279 297 341 378 434 462 558 594 647 651 682 693 837 1023 1294 1302 1386 1674 1941 1953 2046 2079 2387 3069 3882 3906 4158 4529 4774 5823 5859 6138 7117 7161 9058 9207 11646 11718 13587 14234 14322 17469 18414 20057 21351 21483 27174 34938 40114 40761 42702 42966 49819 60171 64053 64449 81522 99638 120342 122283 128106 128898 140399 149457 180513 192159 220627 244566 280798 298914 361026 384318 421197 441254 448371 541539 661881 842394 896742 1083078 1263591 1323762 1345113 1544389 1985643 2527182 2690226 3088778 3790773 3971286 4633167 5956929 7581546 9266334 11913858 13899501 27799002 41698503 83397006