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81739020 = 223511271457
BaseRepresentation
bin1001101111100…
…11110100001100
312200210202212010
410313303310030
5131411122040
612035541220
72011525116
oct467636414
9180722763
1081739020
1142159810
122345a810
1313c1baac
14abda3b6
157298e80
hex4df3d0c

81739020 has 96 divisors (see below), whose sum is σ = 251145216. Its totient is φ = 19699200.

The previous prime is 81738989. The next prime is 81739027. The reversal of 81739020 is 2093718.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (81739027) 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, 178632 + ... + 179088.

It is an arithmetic number, because the mean of its divisors is an integer number (2616096).

Almost surely, 281739020 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 81739020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125572608).

81739020 is an abundant number, since it is smaller than the sum of its proper divisors (169406196).

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

81739020 is a wasteful number, since it uses less digits than its factorization.

81739020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 81739020 is about 9040.9634442354. The cubic root of 81739020 is about 433.9867551721.

The spelling of 81739020 in words is "eighty-one million, seven hundred thirty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 271 330 457 542 660 813 914 1084 1355 1371 1626 1828 2285 2710 2742 2981 3252 4065 4570 5027 5420 5484 5962 6855 8130 8943 9140 10054 11924 13710 14905 15081 16260 17886 20108 25135 27420 29810 30162 35772 44715 50270 59620 60324 75405 89430 100540 123847 150810 178860 247694 301620 371541 495388 619235 743082 1238470 1362317 1486164 1857705 2476940 2724634 3715410 4086951 5449268 6811585 7430820 8173902 13623170 16347804 20434755 27246340 40869510 81739020