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10725040 = 245791697
BaseRepresentation
bin101000111010…
…011010110000
3202011212222201
4220322122300
510221200130
61021512544
7160106224
oct50723260
922155881
1010725040
116065977
123712754
1322b68a1
1415d2784
15e1cbca
hexa3a6b0

10725040 has 40 divisors (see below), whose sum is σ = 25266240. Its totient is φ = 4233216.

The previous prime is 10725037. The next prime is 10725053. The reversal of 10725040 is 4052701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10724999 and 10725017.

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 7 ways as a sum of consecutive naturals, for example, 5472 + ... + 7168.

It is an arithmetic number, because the mean of its divisors is an integer number (631656).

Almost surely, 210725040 is an apocalyptic number.

10725040 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 10725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12633120).

10725040 is an abundant number, since it is smaller than the sum of its proper divisors (14541200).

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

10725040 is a wasteful number, since it uses less digits than its factorization.

10725040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 10725040 is about 3274.9106858050. The cubic root of 10725040 is about 220.5293040241.

Adding to 10725040 its reverse (4052701), we get a palindrome (14777741).

The spelling of 10725040 in words is "ten million, seven hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 1697 3160 3394 6320 6788 8485 13576 16970 27152 33940 67880 134063 135760 268126 536252 670315 1072504 1340630 2145008 2681260 5362520 10725040