Search a number
-
+
71740928 = 29737541
BaseRepresentation
bin1000100011010…
…10111000000000
311222222211001102
410101222320000
5121331202203
611041353532
71530534140
oct421527000
9158884042
1071740928
1137550026
12200388a8
1311b2b06c
149756920
156471888
hex446ae00

71740928 has 80 divisors (see below), whose sum is σ = 168557664. Its totient is φ = 29859840.

The previous prime is 71740919. The next prime is 71740931. The reversal of 71740928 is 82904717.

It is a junction number, because it is equal to n+sod(n) for n = 71740891 and 71740900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132338 + ... + 132878.

Almost surely, 271740928 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 71740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84278832).

71740928 is an abundant number, since it is smaller than the sum of its proper divisors (96816736).

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

71740928 is an equidigital number, since it uses as much as digits as its factorization.

71740928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 71740928 is about 8470.0016528924. The cubic root of 71740928 is about 415.5171913495.

The spelling of 71740928 in words is "seventy-one million, seven hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 541 592 896 1036 1082 1184 1792 2072 2164 2368 3584 3787 4144 4328 4736 7574 8288 8656 9472 15148 16576 17312 18944 20017 30296 33152 34624 40034 60592 66304 69248 80068 121184 132608 138496 140119 160136 242368 276992 280238 320272 484736 560476 640544 969472 1120952 1281088 1938944 2241904 2562176 4483808 5124352 8967616 10248704 17935232 35870464 71740928