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82140396 = 223131747659
BaseRepresentation
bin1001110010101…
…01110011101100
312201120011102220
410321111303230
5132011443041
612052315340
72015116242
oct471256354
9181504386
1082140396
1142403328
1223612b50
131402c6b0
14aca2792
157327d66
hex4e55cec

82140396 has 96 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 23245824.

The previous prime is 82140391. The next prime is 82140419. The reversal of 82140396 is 69304128.

It is not an unprimeable number, because it can be changed into a prime (82140391) 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, 124315 + ... + 124973.

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

Almost surely, 282140396 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 82140396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

82140396 is an abundant number, since it is smaller than the sum of its proper divisors (141393684).

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

82140396 is a wasteful number, since it uses less digits than its factorization.

82140396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 82140396 is about 9063.1338950718. The cubic root of 82140396 is about 434.6959534739.

The spelling of 82140396 in words is "eighty-two million, one hundred forty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 47 51 52 68 78 94 102 141 156 188 204 221 282 442 564 611 659 663 799 884 1222 1318 1326 1598 1833 1977 2397 2444 2636 2652 3196 3666 3954 4794 7332 7908 8567 9588 10387 11203 17134 20774 22406 25701 30973 31161 33609 34268 41548 44812 51402 61946 62322 67218 92919 102804 123892 124644 134436 145639 185838 291278 371676 402649 436917 526541 582556 805298 873834 1053082 1207947 1579623 1610596 1747668 2106164 2415894 3159246 4831788 6318492 6845033 13690066 20535099 27380132 41070198 82140396