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969680 = 245172331
BaseRepresentation
bin11101100101111010000
31211021011002
43230233100
5222012210
632441132
711146025
oct3545720
91737132
10969680
11602598
123a91a8
1327c49a
141b354c
151424a5
hexecbd0

969680 has 80 divisors (see below), whose sum is σ = 2571264. Its totient is φ = 337920.

The previous prime is 969679. The next prime is 969713. The reversal of 969680 is 86969.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31265 + ... + 31295.

2969680 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 969680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632).

969680 is an abundant number, since it is smaller than the sum of its proper divisors (1601584).

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

969680 is a wasteful number, since it uses less digits than its factorization.

969680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 969680 is about 984.7233113926. The cubic root of 969680 is about 98.9789432481.

The spelling of 969680 in words is "nine hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 23 31 34 40 46 62 68 80 85 92 115 124 136 155 170 184 230 248 272 310 340 368 391 460 496 527 620 680 713 782 920 1054 1240 1360 1426 1564 1840 1955 2108 2480 2635 2852 3128 3565 3910 4216 5270 5704 6256 7130 7820 8432 10540 11408 12121 14260 15640 21080 24242 28520 31280 42160 48484 57040 60605 96968 121210 193936 242420 484840 969680