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81720420 = 223537131281
BaseRepresentation
bin1001101111011…
…11010001100100
312200202211100020
410313233101210
5131410023140
612035315140
72011416645
oct467572144
9180684306
1081720420
1142146841
122344bab0
1313c134a2
14abd36cc
1572936d0
hex4def464

81720420 has 96 divisors (see below), whose sum is σ = 237638016. Its totient is φ = 20966400.

The previous prime is 81720409. The next prime is 81720427. The reversal of 81720420 is 2402718.

It is not an unprimeable number, because it can be changed into a prime (81720427) 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, 290680 + ... + 290960.

It is an arithmetic number, because the mean of its divisors is an integer number (2475396).

Almost surely, 281720420 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 81720420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118819008).

81720420 is an abundant number, since it is smaller than the sum of its proper divisors (155917596).

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

81720420 is a wasteful number, since it uses less digits than its factorization.

81720420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 81720420 is about 9039.9347342777. The cubic root of 81720420 is about 433.9538342734.

The spelling of 81720420 in words is "eighty-one million, seven hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 131 148 185 222 262 281 370 393 444 524 555 562 655 740 786 843 1110 1124 1310 1405 1572 1686 1965 2220 2620 2810 3372 3930 4215 4847 5620 7860 8430 9694 10397 14541 16860 19388 20794 24235 29082 31191 36811 41588 48470 51985 58164 62382 72705 73622 96940 103970 110433 124764 145410 147244 155955 184055 207940 220866 290820 311910 368110 441732 552165 623820 736220 1104330 1362007 2208660 2724014 4086021 5448028 6810035 8172042 13620070 16344084 20430105 27240140 40860210 81720420