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104216720 = 2452921549
BaseRepresentation
bin1100011011000…
…11100010010000
321021002202110112
412031203202100
5203134413340
614201420452
72403553556
oct615434220
9237082415
10104216720
1153911623
122aa9a728
131878bbca
14dbabbd6
159239065
hex6363890

104216720 has 60 divisors (see below), whose sum is σ = 251109300. Its totient is φ = 40223232.

The previous prime is 104216713. The next prime is 104216737. The reversal of 104216720 is 27612401.

It can be written as a sum of positive squares in 6 ways, for example, as 1721344 + 102495376 = 1312^2 + 10124^2 .

It is a super-2 number, since 2×1042167202 = 21722249455116800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 66506 + ... + 68054.

It is an arithmetic number, because the mean of its divisors is an integer number (4185155).

Almost surely, 2104216720 is an apocalyptic number.

104216720 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 104216720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125554650).

104216720 is an abundant number, since it is smaller than the sum of its proper divisors (146892580).

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

104216720 is a wasteful number, since it uses less digits than its factorization.

104216720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 104216720 is about 10208.6590696330. The cubic root of 104216720 is about 470.5933655568.

The spelling of 104216720 in words is "one hundred four million, two hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 841 1160 1549 1682 2320 3098 3364 4205 6196 6728 7745 8410 12392 13456 15490 16820 24784 30980 33640 44921 61960 67280 89842 123920 179684 224605 359368 449210 718736 898420 1302709 1796840 2605418 3593680 5210836 6513545 10421672 13027090 20843344 26054180 52108360 104216720