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81696080 = 2456116741
BaseRepresentation
bin1001101111010…
…01010101010000
312200201120221202
410313221111100
5131403233310
612035010332
72011255664
oct467512520
9180646852
1081696080
114212a524
12234399a8
1313c0539b
14abc88a4
15728b3a5
hex4de9550

81696080 has 40 divisors (see below), whose sum is σ = 193068744. Its totient is φ = 32140800.

The previous prime is 81696073. The next prime is 81696119. The reversal of 81696080 is 8069618.

It can be written as a sum of positive squares in 4 ways, for example, as 8832784 + 72863296 = 2972^2 + 8536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3491 + ... + 13250.

Almost surely, 281696080 is an apocalyptic number.

81696080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81696080 is an abundant number, since it is smaller than the sum of its proper divisors (111372664).

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

81696080 is a wasteful number, since it uses less digits than its factorization.

81696080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16815 (or 16809 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 81696080 is about 9038.5883853620. The cubic root of 81696080 is about 433.9107463681.

The spelling of 81696080 in words is "eighty-one million, six hundred ninety-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 16741 33482 66964 83705 133928 167410 267856 334820 669640 1021201 1339280 2042402 4084804 5106005 8169608 10212010 16339216 20424020 40848040 81696080