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10098240 = 263567157
BaseRepresentation
bin100110100001…
…011001000000
3201000001011220
4212201121000
510041120430
61000235040
7151555635
oct46413100
921001156
1010098240
115777a59
12346ba80
1321274b9
1414ac18c
15d47110
hex9a1640

10098240 has 112 divisors (see below), whose sum is σ = 32747712. Its totient is φ = 2635776.

The previous prime is 10098233. The next prime is 10098241. The reversal of 10098240 is 4289001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10098240.

It is not an unprimeable number, because it can be changed into a prime (10098241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64242 + ... + 64398.

Almost surely, 210098240 is an apocalyptic number.

10098240 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 10098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373856).

10098240 is an abundant number, since it is smaller than the sum of its proper divisors (22649472).

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

10098240 is a wasteful number, since it uses less digits than its factorization.

10098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10098240 is about 3177.7728049689. The cubic root of 10098240 is about 216.1466767813.

The spelling of 10098240 in words is "ten million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 157 160 192 201 240 268 314 320 335 402 471 480 536 628 670 785 804 942 960 1005 1072 1256 1340 1570 1608 1884 2010 2144 2355 2512 2680 3140 3216 3768 4020 4288 4710 5024 5360 6280 6432 7536 8040 9420 10048 10519 10720 12560 12864 15072 16080 18840 21038 21440 25120 30144 31557 32160 37680 42076 50240 52595 63114 64320 75360 84152 105190 126228 150720 157785 168304 210380 252456 315570 336608 420760 504912 631140 673216 841520 1009824 1262280 1683040 2019648 2524560 3366080 5049120 10098240