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81720432 = 2432717993
BaseRepresentation
bin1001101111011…
…11010001110000
312200202211100200
410313233101300
5131410023212
612035315200
72011416663
oct467572160
9180684320
1081720432
1142146852
122344bb00
1313c134b1
14abd36da
1572936dc
hex4def470

81720432 has 60 divisors (see below), whose sum is σ = 231953904. Its totient is φ = 26853120.

The previous prime is 81720427. The next prime is 81720437. The reversal of 81720432 is 23402718.

It is an interprime number because it is at equal distance from previous prime (81720427) and next prime (81720437).

It is a junction number, because it is equal to n+sod(n) for n = 81720396 and 81720405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81720437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6228 + ... + 14220.

Almost surely, 281720432 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 81720432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115976952).

81720432 is an abundant number, since it is smaller than the sum of its proper divisors (150233472).

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

81720432 is a wasteful number, since it uses less digits than its factorization.

81720432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 81720432 is about 9039.9353979993. The cubic root of 81720432 is about 433.9538555143.

The spelling of 81720432 in words is "eighty-one million, seven hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 7993 10224 15986 23979 31972 47958 63944 71937 95916 127888 143874 191832 287748 383664 567503 575496 1135006 1150992 1702509 2270012 3405018 4540024 5107527 6810036 9080048 10215054 13620072 20430108 27240144 40860216 81720432