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69680 = 2451367
BaseRepresentation
bin10001000000110000
310112120202
4101000300
54212210
61254332
7410102
oct210060
9115522
1069680
1148396
12343a8
1325940
141b572
15159a5
hex11030

69680 has 40 divisors (see below), whose sum is σ = 177072. Its totient is φ = 25344.

The previous prime is 69677. The next prime is 69691. The reversal of 69680 is 8696.

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

It is a zygodrome in base 9.

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, 1007 + ... + 1073.

269680 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 69680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88536).

69680 is an abundant number, since it is smaller than the sum of its proper divisors (107392).

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

69680 is a wasteful number, since it uses less digits than its factorization.

69680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 69680 is about 263.9696952303. The cubic root of 69680 is about 41.1499565203.

The spelling of 69680 in words is "sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 67 80 104 130 134 208 260 268 335 520 536 670 871 1040 1072 1340 1742 2680 3484 4355 5360 6968 8710 13936 17420 34840 69680