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103879680 = 210356763
BaseRepresentation
bin1100011000100…
…01010000000000
321020110122010120
412030101100000
5203043122210
614150300240
72400651132
oct614212000
9236418116
10103879680
1153701383
122a957680
13186a1688
14db21052
1591be270
hex6311400

103879680 has 88 divisors (see below), whose sum is σ = 332301792. Its totient is φ = 27697152.

The previous prime is 103879679. The next prime is 103879687. The reversal of 103879680 is 86978301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103879687) 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, 11979 + ... + 18741.

Almost surely, 2103879680 is an apocalyptic number.

103879680 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 103879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166150896).

103879680 is an abundant number, since it is smaller than the sum of its proper divisors (228422112).

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

103879680 is an equidigital number, since it uses as much as digits as its factorization.

103879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 103879680 is about 10192.1381466305. The cubic root of 103879680 is about 470.0855133374.

The spelling of 103879680 in words is "one hundred three million, eight hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 6763 7680 13526 15360 20289 27052 33815 40578 54104 67630 81156 101445 108208 135260 162312 202890 216416 270520 324624 405780 432832 541040 649248 811560 865664 1082080 1298496 1623120 1731328 2164160 2596992 3246240 3462656 4328320 5193984 6492480 6925312 8656640 10387968 12984960 17313280 20775936 25969920 34626560 51939840 103879680