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10925040 = 243572929
BaseRepresentation
bin101001101011…
…001111110000
3202120001100010
4221223033300
510244100130
61030054520
7161601300
oct51531760
922501303
1010925040
116192165
1237aa440
132356929
141645600
15e5c0b0
hexa6b3f0

10925040 has 120 divisors (see below), whose sum is σ = 39439440. Its totient is φ = 2494464.

The previous prime is 10925011. The next prime is 10925063. The reversal of 10925040 is 4052901.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10924998 and 10925016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11296 + ... + 12224.

It is an arithmetic number, because the mean of its divisors is an integer number (328662).

Almost surely, 210925040 is an apocalyptic number.

10925040 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 10925040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19719720).

10925040 is an abundant number, since it is smaller than the sum of its proper divisors (28514400).

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

10925040 is a wasteful number, since it uses less digits than its factorization.

10925040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10925040 is about 3305.3048270924. The cubic root of 10925040 is about 221.8916767204.

Adding to 10925040 its reverse (4052901), we get a palindrome (14977941).

The spelling of 10925040 in words is "ten million, nine hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 929 980 1176 1470 1680 1858 1960 2352 2787 2940 3716 3920 4645 5574 5880 6503 7432 9290 11148 11760 13006 13935 14864 18580 19509 22296 26012 27870 32515 37160 39018 44592 45521 52024 55740 65030 74320 78036 91042 97545 104048 111480 130060 136563 156072 182084 195090 222960 227605 260120 273126 312144 364168 390180 455210 520240 546252 682815 728336 780360 910420 1092504 1365630 1560720 1820840 2185008 2731260 3641680 5462520 10925040