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83331690 = 23513732927
BaseRepresentation
bin1001111011110…
…00101001101010
312210210200120220
410331320221222
5132313103230
612134030510
72031210351
oct475705152
9183720526
1083331690
1143047372
1223aa8436
13143589c0
14b0d2998
1574b0d10
hex4f78a6a

83331690 has 64 divisors (see below), whose sum is σ = 218405376. Its totient is φ = 20224512.

The previous prime is 83331683. The next prime is 83331697. The reversal of 83331690 is 9613338.

It is an interprime number because it is at equal distance from previous prime (83331683) and next prime (83331697).

It is a super-2 number, since 2×833316902 = 13888341116512200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83331697) 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, 27007 + ... + 29933.

It is an arithmetic number, because the mean of its divisors is an integer number (3412584).

Almost surely, 283331690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83331690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109202688).

83331690 is an abundant number, since it is smaller than the sum of its proper divisors (135073686).

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

83331690 is a wasteful number, since it uses less digits than its factorization.

83331690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 83331690 is about 9128.6192822354. The cubic root of 83331690 is about 436.7873611815.

It can be divided in two parts, 833 and 31690, that added together give a palindrome (32523).

The spelling of 83331690 in words is "eighty-three million, three hundred thirty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 73 78 130 146 195 219 365 390 438 730 949 1095 1898 2190 2847 2927 4745 5694 5854 8781 9490 14235 14635 17562 28470 29270 38051 43905 76102 87810 114153 190255 213671 228306 380510 427342 570765 641013 1068355 1141530 1282026 2136710 2777723 3205065 5555446 6410130 8333169 13888615 16666338 27777230 41665845 83331690