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81780336 = 243211173037
BaseRepresentation
bin1001101111111…
…01111001110000
312200212212112100
410313331321300
5131413432321
612040500400
72012056431
oct467757160
9180785470
1081780336
1142187860
122347a700
1313c34841
14ac0b488
1572a6326
hex4dfde70

81780336 has 120 divisors (see below), whose sum is σ = 264451824. Its totient is φ = 23316480.

The previous prime is 81780331. The next prime is 81780359. The reversal of 81780336 is 63308718.

81780336 = 832 + 842 + ... + 6262.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81780336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81780331) 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 23 ways as a sum of consecutive naturals, for example, 25410 + ... + 28446.

Almost surely, 281780336 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 81780336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225912).

81780336 is an abundant number, since it is smaller than the sum of its proper divisors (182671488).

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

81780336 is a wasteful number, since it uses less digits than its factorization.

81780336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 81780336 is about 9043.2480890441. The cubic root of 81780336 is about 434.0598641823.

The spelling of 81780336 in words is "eighty-one million, seven hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3037 3366 4488 6074 6732 8976 9111 12148 13464 18222 24296 26928 27333 33407 36444 48592 51629 54666 66814 72888 100221 103258 109332 133628 145776 154887 200442 206516 218664 267256 300663 309774 400884 413032 437328 464661 534512 567919 601326 619548 801768 826064 929322 1135838 1202652 1239096 1603536 1703757 1858644 2271676 2405304 2478192 3407514 3717288 4543352 4810608 5111271 6815028 7434576 9086704 10222542 13630056 20445084 27260112 40890168 81780336