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10098720 = 253257013
BaseRepresentation
bin100110100001…
…100000100000
3201000001211200
4212201200200
510041124340
61000241200
7151560222
oct46414040
921001750
1010098720
115778355
123470200
132127798
1414ac412
15d47330
hex9a1820

10098720 has 72 divisors (see below), whose sum is σ = 34466796. Its totient is φ = 2692608.

The previous prime is 10098719. The next prime is 10098721. The reversal of 10098720 is 2789001.

It is an interprime number because it is at equal distance from previous prime (10098719) and next prime (10098721).

It can be written as a sum of positive squares in 2 ways, for example, as 9960336 + 138384 = 3156^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10098721) 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 11 ways as a sum of consecutive naturals, for example, 2067 + ... + 4946.

Almost surely, 210098720 is an apocalyptic number.

10098720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10098720 is an abundant number, since it is smaller than the sum of its proper divisors (24368076).

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

10098720 is a wasteful number, since it uses less digits than its factorization.

10098720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10098720 is about 3177.8483286652. The cubic root of 10098720 is about 216.1501014296.

The spelling of 10098720 in words is "ten million, ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7013 14026 21039 28052 35065 42078 56104 63117 70130 84156 105195 112208 126234 140260 168312 210390 224416 252468 280520 315585 336624 420780 504936 561040 631170 673248 841560 1009872 1122080 1262340 1683120 2019744 2524680 3366240 5049360 10098720