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10253040 = 2435717359
BaseRepresentation
bin100111000111…
…001011110000
3201021220112020
4213013023300
510111044130
61003431440
7153102150
oct47071360
921256466
1010253040
115873296
123525580
13217cab5
14150c760
15d77e10
hex9c72f0

10253040 has 160 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 2199552.

The previous prime is 10253029. The next prime is 10253053. The reversal of 10253040 is 4035201.

10253040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28381 + ... + 28739.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 210253040 is an apocalyptic number.

10253040 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 10253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

10253040 is an abundant number, since it is smaller than the sum of its proper divisors (28315920).

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

10253040 is a wasteful number, since it uses less digits than its factorization.

10253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10253040 is about 3202.0368517555. The cubic root of 10253040 is about 217.2455473262.

Adding to 10253040 its reverse (4035201), we get a palindrome (14288241).

The spelling of 10253040 in words is "ten million, two hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 359 408 420 476 510 560 595 680 714 718 816 840 952 1020 1077 1190 1360 1428 1436 1680 1785 1795 1904 2040 2154 2380 2513 2856 2872 3570 3590 4080 4308 4760 5026 5385 5712 5744 6103 7140 7180 7539 8616 9520 10052 10770 12206 12565 14280 14360 15078 17232 18309 20104 21540 24412 25130 28560 28720 30156 30515 36618 37695 40208 42721 43080 48824 50260 60312 61030 73236 75390 85442 86160 91545 97648 100520 120624 122060 128163 146472 150780 170884 183090 201040 213605 244120 256326 292944 301560 341768 366180 427210 488240 512652 603120 640815 683536 732360 854420 1025304 1281630 1464720 1708840 2050608 2563260 3417680 5126520 10253040