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10109040 = 243573577
BaseRepresentation
bin100110100100…
…000001110000
3201000120222220
4212210001300
510041442130
61000401040
7151632264
oct46440160
921016886
1010109040
115785087
123476180
13212c3a6
1414b20a4
15d4a410
hex9a4070

10109040 has 80 divisors (see below), whose sum is σ = 31822368. Its totient is φ = 2654208.

The previous prime is 10109017. The next prime is 10109041. The reversal of 10109040 is 4090101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10109041) 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, 17232 + ... + 17808.

Almost surely, 210109040 is an apocalyptic number.

10109040 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 10109040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911184).

10109040 is an abundant number, since it is smaller than the sum of its proper divisors (21713328).

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

10109040 is a wasteful number, since it uses less digits than its factorization.

10109040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10109040 is about 3179.4716542218. The cubic root of 10109040 is about 216.2237051348.

Adding to 10109040 its reverse (4090101), we get a palindrome (14199141).

The spelling of 10109040 in words is "ten million, one hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 577 584 730 876 1095 1154 1168 1460 1731 1752 2190 2308 2885 2920 3462 3504 4380 4616 5770 5840 6924 8655 8760 9232 11540 13848 17310 17520 23080 27696 34620 42121 46160 69240 84242 126363 138480 168484 210605 252726 336968 421210 505452 631815 673936 842420 1010904 1263630 1684840 2021808 2527260 3369680 5054520 10109040