Search a number
-
+
10246240 = 255173767
BaseRepresentation
bin100111000101…
…100001100000
3201021120012101
4213011201200
510110334430
61003340144
7153043264
oct47054140
921246171
1010246240
115869174
123521654
132179984
14150a0a4
15d75dca
hex9c5860

10246240 has 48 divisors (see below), whose sum is σ = 25637472. Its totient is φ = 3856384.

The previous prime is 10246237. The next prime is 10246253. The reversal of 10246240 is 4264201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837 + ... + 4603.

It is an arithmetic number, because the mean of its divisors is an integer number (534114).

Almost surely, 210246240 is an apocalyptic number.

10246240 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 10246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818736).

10246240 is an abundant number, since it is smaller than the sum of its proper divisors (15391232).

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

10246240 is a wasteful number, since it uses less digits than its factorization.

10246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 10246240 is about 3200.9748515101. The cubic root of 10246240 is about 217.1975096572.

The spelling of 10246240 in words is "ten million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 3767 7534 15068 18835 30136 37670 60272 64039 75340 120544 128078 150680 256156 301360 320195 512312 602720 640390 1024624 1280780 2049248 2561560 5123120 10246240