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690880 = 26517127
BaseRepresentation
bin10101000101011000000
31022002201011
42220223000
5134102010
622450304
75605141
oct2505300
91262634
10690880
11432083
12293994
131b2608
1413dac8
15d9a8a
hexa8ac0

690880 has 56 divisors (see below), whose sum is σ = 1755648. Its totient is φ = 258048.

The previous prime is 690871. The next prime is 690887. The reversal of 690880 is 88096.

690880 = 12 + 22 + ... + 1272.

It is not an unprimeable number, because it can be changed into a prime (690887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5377 + ... + 5503.

2690880 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 690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877824).

690880 is an abundant number, since it is smaller than the sum of its proper divisors (1064768).

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

690880 is a wasteful number, since it uses less digits than its factorization.

690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 690880 is about 831.1919152639. The cubic root of 690880 is about 88.4031093001.

The spelling of 690880 in words is "six hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 127 136 160 170 254 272 320 340 508 544 635 680 1016 1088 1270 1360 2032 2159 2540 2720 4064 4318 5080 5440 8128 8636 10160 10795 17272 20320 21590 34544 40640 43180 69088 86360 138176 172720 345440 690880