Search a number
-
+
81743680 = 265467547
BaseRepresentation
bin1001101111101…
…00111101000000
312200211000020201
410313310331000
5131411244210
612040014544
72011544524
oct467647500
9180730221
1081743680
1142162267
1223461454
1313c20c55
14abdbd84
15729a53a
hex4df4f40

81743680 has 56 divisors (see below), whose sum is σ = 195425568. Its totient is φ = 32567808.

The previous prime is 81743671. The next prime is 81743687. The reversal of 81743680 is 8634718.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81743687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149167 + ... + 149713.

Almost surely, 281743680 is an apocalyptic number.

81743680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97712784).

81743680 is an abundant number, since it is smaller than the sum of its proper divisors (113681888).

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

81743680 is a wasteful number, since it uses less digits than its factorization.

81743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 81743680 is about 9041.2211564589. The cubic root of 81743680 is about 433.9950023138.

The spelling of 81743680 in words is "eighty-one million, seven hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 467 547 934 1094 1868 2188 2335 2735 3736 4376 4670 5470 7472 8752 9340 10940 14944 17504 18680 21880 29888 35008 37360 43760 74720 87520 149440 175040 255449 510898 1021796 1277245 2043592 2554490 4087184 5108980 8174368 10217960 16348736 20435920 40871840 81743680