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103066880 = 285711503
BaseRepresentation
bin1100010010010…
…10110100000000
321011221100011212
412021022310000
5202341120010
614121025252
72361024350
oct611126400
9234840155
10103066880
11531a6744
122a625228
1318478727
14d98cb60
1590ad505
hex624ad00

103066880 has 72 divisors (see below), whose sum is σ = 282170112. Its totient is φ = 35334144.

The previous prime is 103066879. The next prime is 103066913. The reversal of 103066880 is 88660301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 3209 + ... + 14711.

Almost surely, 2103066880 is an apocalyptic number.

103066880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141085056).

103066880 is an abundant number, since it is smaller than the sum of its proper divisors (179103232).

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

103066880 is an equidigital number, since it uses as much as digits as its factorization.

103066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11531 (or 11517 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 103066880 is about 10152.1859715039. The cubic root of 103066880 is about 468.8562501666.

The spelling of 103066880 in words is "one hundred three million, sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 11503 23006 46012 57515 80521 92024 115030 161042 184048 230060 322084 368096 402605 460120 644168 736192 805210 920240 1288336 1472384 1610420 1840480 2576672 2944768 3220840 3680960 5153344 6441680 7361920 10306688 12883360 14723840 20613376 25766720 51533440 103066880