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71998146 = 2341123673
BaseRepresentation
bin1000100101010…
…01101011000010
312000110212220000
410102221223002
5121412420041
611051100430
71532655063
oct422515302
9160425800
1071998146
1137706300
1220141716
1311bbb16c
1497c256a
1564c2bb6
hex44a9ac2

71998146 has 60 divisors (see below), whose sum is σ = 177377046. Its totient is φ = 21811680.

The previous prime is 71998139. The next prime is 71998169. The reversal of 71998146 is 64189917.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70812225 + 1185921 = 8415^2 + 1089^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 17766 + ... + 21438.

Almost surely, 271998146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71998146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88688523).

71998146 is an abundant number, since it is smaller than the sum of its proper divisors (105378900).

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

71998146 is a wasteful number, since it uses less digits than its factorization.

71998146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3689 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 71998146 is about 8485.1721255376. The cubic root of 71998146 is about 416.0131937692.

It can be divided in two parts, 719981 and 46, that added together give a palindrome (720027).

The spelling of 71998146 in words is "seventy-one million, nine hundred ninety-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 3673 6534 7346 9801 11019 19602 22038 33057 40403 66114 80806 99171 121209 198342 242418 297513 363627 444433 595026 727254 888866 1090881 1333299 2181762 2666598 3272643 3999897 6545286 7999794 11999691 23999382 35999073 71998146